Q1.
The sum of an A.P. whose first term is -4 and last term is 146 is 7171. Find the value of n.

101
98
102
99

Solution:

NA

Q2.
Divide 30 into five parts in A.P. such that the first and last parts are in the ratio 2 : 3.

24/5, 27/5, 6, 33/5, 36/5
4, 6, 8, 10, 12
1, 3, 5, 6, 7
27/5, 24/5, 6, 36/5, 33/5

Solution:

NA

Q3.
Insert 4 A.M.'s between 3 and 18

12, 15, 9, 6
6, 9, 12, 15
4, 8, 12, 16
3, 6, 12, 15

Solution:

NA

Q4.
(x + 1 ), 3x, (4x + 2 ) are in A.P. Find the value of x.

2
4
3
5

Solution:

NA

Q5.
If in an A.P., t_n represents n^th term , if t₇ : t₁₀ = 5 : 7,

then find t₈ : t₁₁

15 : 16
14 : 17
17 : 23
15 : 19

Solution:

NA

Q6.
Divide 144 into three parts which are in A.P. and such that the largest is twice the smallest, the smallest of three numbers will be

32
36
42
48

Solution:

NA

Q7.
If S_n is sum of n^th terms of an A.P.is (2n² + n). then find difference of its 10th and 1st term

45
68
63
36

Solution:

NA

Q8.
If sum of 3 arithmetic means between "a" and 22 is 42, then "a" is equal to

14
11
10
6

Solution:

NA

Q9.
If each month Rs.100 increases in any sum then find out the total sum after 10 months, if the sum of first month is Rs. 2,000.

Rs.24,500
Rs. 24,000
Rs. 55,000
Rs.60,000

Solution:

NA

Q10.
The sum of the third and ninth term of an A.P. is 8. Find the sum of the first 11 terms of the progression.

44
22
19
11

Solution:

NA

Q11.
If 8th term of an A.P. is 15, then sum of its 15 terms is

53
0
15
225

Solution:

NA

Q12.
The 4th term of an A.P. is three times the first term and the 7th term exceeds twice the third term by 1. find (a, d)

(3, 2)
(3, 3)
(5, 4)
(3, 4)

Solution:

NA

Q13.
In an A.P. , if common difference is 2, sum of n terms is 49, 7th term is 13 then find n.

5
10
12
7

Solution:

NA

Q14.
If the sum of n terms of an A.P. be 2n² + 5n, then its nth term is

4n + 2
4n - 3
4n + 3
3n + 4

Solution:

NA

Q15.
If the sum of the 4th term and the 12th term of an A.P. is 8, what is the sum of the first 15 terms of the progression

60
110
130
150

Solution:

NA

Q16.
If "n" arithmetic means are inserted between 7 and 71 and 5th arithmetic mean is 27, then n is

19
18
12
15

Solution:

NA

Q17.
If third term and seventh term of an A.P. are eighteen and thirty respectively, then sum of first twenty terms will be.

540
720
350
810

Solution:

NA

Q18.
If a, b, c are in arithmetic progression, then the value of a - b + c is

a
-b
b
c

Solution:

NA

Q19.
Two APs have the same common difference. The difference between their 300th term is 100, what is the difference between their 900th term

100
200
300
400

Solution:

NA

Q20.
The ratio of the 11th term to the 18th term of an A.P. is 2 : 3. Find the ratio of the 5th term to the 21st term, and also the ratio of the sum of first five terms to the sum of the first 21 terms

2 : 3, 4 : 5
3: 7, 5 : 47
1 : 3, 5 : 49
3 : 1, 9 : 47

Solution:

NA

Q21.
If the ratio of the sum of first n terms of the twoA.P.'s is (7n + 1) : (4n + 27), find the ratio of their m^th terms.

(14m - 6) : (8m + 23)
(2n + 3) : ( 4n - 3)
(17n + 12) : ( 15n +7)
(2n - 3) : (5n - 18)

Solution:

NA

Q22.
If nth term of an A.P. is (15 - 4n), Find the sum of first 20 terms of this A.P

230
-540
630
-840

Solution:

NA

Q23.
In an A.P. s_n = n(4n + 1), find the A.P.

5, 13, 21, 29,............
7, 12, 17, 22,...................
3, 6, 9, 12,................
3, 5, 7, 9.................

Solution:

NA

Q24.
In an A.P. of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P.

3, 7, 11, 15
3, 7, 11, 15
4,9, 15, 19
6, 8, 10, 12

Solution:

NA

Q25.
Which term of the A.P. 121, 117, 113, ..............is the first negative term

32
28
43
17

Solution:

NA

Q26.
Find the value of n, the nth term of two A.P.s 63, 65, 67..... and 3, 10, 17......... equal, also find t_n

4, 36
5, 67
13, 87
15, 75

Solution:

NA

Q1. The sum of an A.P. whose first term is -4 and last term is 146 is 7171. Find the value of n.

Q2. Divide 30 into five parts in A.P. such that the first and last parts are in the ratio 2 : 3.

Q3. Insert 4 A.M.'s between 3 and 18

Q4. (x + 1 ), 3x, (4x + 2 ) are in A.P. Find the value of x.

Q5. If in an A.P., tn represents nth term , if t7 : t10 = 5 : 7, then find t8 : t11

Q6. Divide 144 into three parts which are in A.P. and such that the largest is twice the smallest, the smallest of three numbers will be

Q7. If Sn is sum of nth terms of an A.P.is (2n2 + n). then find difference of its 10th and 1st term

Q8. If sum of 3 arithmetic means between "a" and 22 is 42, then "a" is equal to

Q9. If each month Rs.100 increases in any sum then find out the total sum after 10 months, if the sum of first month is Rs. 2,000.

Q10. The sum of the third and ninth term of an A.P. is 8. Find the sum of the first 11 terms of the progression.

Q11. If 8th term of an A.P. is 15, then sum of its 15 terms is

Q12. The 4th term of an A.P. is three times the first term and the 7th term exceeds twice the third term by 1. find (a, d)

Q13. In an A.P. , if common difference is 2, sum of n terms is 49, 7th term is 13 then find n.

Q14. If the sum of n terms of an A.P. be 2n2 + 5n, then its nth term is

Q15. If the sum of the 4th term and the 12th term of an A.P. is 8, what is the sum of the first 15 terms of the progression

Q16. If "n" arithmetic means are inserted between 7 and 71 and 5th arithmetic mean is 27, then n is

Q17. If third term and seventh term of an A.P. are eighteen and thirty respectively, then sum of first twenty terms will be.

Q18. If a, b, c are in arithmetic progression, then the value of a - b + c is

Q19. Two APs have the same common difference. The difference between their 300th term is 100, what is the difference between their 900th term

Q20. The ratio of the 11th term to the 18th term of an A.P. is 2 : 3. Find the ratio of the 5th term to the 21st term, and also the ratio of the sum of first five terms to the sum of the first 21 terms

Q21. If the ratio of the sum of first n terms of the twoA.P.'s is (7n + 1) : (4n + 27), find the ratio of their mth terms.

Q22. If nth term of an A.P. is (15 - 4n), Find the sum of first 20 terms of this A.P

Q23. In an A.P. sn = n(4n + 1), find the A.P.

Q24. In an A.P. of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P.

Q25. Which term of the A.P. 121, 117, 113, ..............is the first negative term

Q26. Find the value of n, the nth term of two A.P.s 63, 65, 67..... and 3, 10, 17......... equal, also find tn

Q1.
The sum of an A.P. whose first term is -4 and last term is 146 is 7171. Find the value of n.

Q2.
Divide 30 into five parts in A.P. such that the first and last parts are in the ratio 2 : 3.

Q3.
Insert 4 A.M.'s between 3 and 18

Q4.
(x + 1 ), 3x, (4x + 2 ) are in A.P. Find the value of x.

Q5.
If in an A.P., t_n represents n^th term , if t₇ : t₁₀ = 5 : 7,

then find t₈ : t₁₁

Q6.
Divide 144 into three parts which are in A.P. and such that the largest is twice the smallest, the smallest of three numbers will be

Q7.
If S_n is sum of n^th terms of an A.P.is (2n² + n). then find difference of its 10th and 1st term

Q8.
If sum of 3 arithmetic means between "a" and 22 is 42, then "a" is equal to

Q9.
If each month Rs.100 increases in any sum then find out the total sum after 10 months, if the sum of first month is Rs. 2,000.

Q10.
The sum of the third and ninth term of an A.P. is 8. Find the sum of the first 11 terms of the progression.

Q11.
If 8th term of an A.P. is 15, then sum of its 15 terms is

Q12.
The 4th term of an A.P. is three times the first term and the 7th term exceeds twice the third term by 1. find (a, d)

Q13.
In an A.P. , if common difference is 2, sum of n terms is 49, 7th term is 13 then find n.

Q14.
If the sum of n terms of an A.P. be 2n² + 5n, then its nth term is

Q15.
If the sum of the 4th term and the 12th term of an A.P. is 8, what is the sum of the first 15 terms of the progression

Q16.
If "n" arithmetic means are inserted between 7 and 71 and 5th arithmetic mean is 27, then n is

Q17.
If third term and seventh term of an A.P. are eighteen and thirty respectively, then sum of first twenty terms will be.

Q18.
If a, b, c are in arithmetic progression, then the value of a - b + c is

Q19.
Two APs have the same common difference. The difference between their 300th term is 100, what is the difference between their 900th term

Q20.
The ratio of the 11th term to the 18th term of an A.P. is 2 : 3. Find the ratio of the 5th term to the 21st term, and also the ratio of the sum of first five terms to the sum of the first 21 terms

Q21.
If the ratio of the sum of first n terms of the twoA.P.'s is (7n + 1) : (4n + 27), find the ratio of their m^th terms.

Q22.
If nth term of an A.P. is (15 - 4n), Find the sum of first 20 terms of this A.P

Q23.
In an A.P. s_n = n(4n + 1), find the A.P.

Q24.
In an A.P. of 50 terms, the sum of first 10 terms is 210 and the sum of its last 15 terms is 2565. Find the A.P.

Q25.
Which term of the A.P. 121, 117, 113, ..............is the first negative term

Q26.
Find the value of n, the nth term of two A.P.s 63, 65, 67..... and 3, 10, 17......... equal, also find t_n