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CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Arithmetic Progression

1.
Find the sum of series 51+50+49+48....+21
2.

The first term of an AP is 6 and its common difference is -3. what is the 16th term of the AP?

A)

51

B)

39

C)

-39

D)

-42

3.
Find number of terms in following sequences: -1, -3, -5, -7,....; y = -151
4.
How many three digits numbers are such that when divided by 7, leaves a reminder 3 in each case ?
5.
Find 9th Term Of 1,4,7,10
6.
Determine an AP whose third term is 9 and when fifth term is subtracted from 8th term, we get 6.
7.
An AP consists of 60 terms. If the first and last terms are 7 and 125 respectively. Find 30th term.
8.

If the sum of first 7 terms of an A.P. is 49 and that of first 17 terms is 289, find the sum of n terms.

A)

n^2

B)

n^3

C)

n/2

D)

2n

9.

the sum of all three digit numbers which are divisible by 7 is

A)

73066

B)

70366

C)

70336

D)

73306

10.
Find number of terms in following sequences: 25, 50, 75, 100,....; y = 1000.
11.

The 8th term of an AP is 17 and its 14th term is 29. The common difference of the AP is 

A)

3

B)

2

C)

5

D)

-2

12.
If first term and common difference is given, then find AP Series: a = -1.5, d = -0.5
13.
Find 12th Term from the end of series: 1, 4, 7, 10,...88.
14.
Find 15th Term OF Following Sequence: am = -4m + 15
15.

which term of the AP 72, 63, 54,... is 0?

A)

8th

B)

9th

C)

10th

D)

11th

16.
Find the first five term of following given sequences: am = 3m+2
17.

 The Sum of n terms of an A.P. is 5n2 – 3n. Hence find its 10th term

A)

376

B)

378

C)

374

D)

372

18.

If  4/5, a , 2 are three consecutive terms of an A.P., then find the value of a

A)

6/5

B)

8/5

C)

5/6

D)

7/5

19.
The sum of first 7 terms of an AP is 63 and the sum of its next term is 161. Find 28th term of the AP
20.
If the 7th term of an AP is 1/9 and 9th term is 1/7. Find the 63rd term.

CBSE Class 10 Mathematics Worksheet

UNIT II: Algebra - Arithmetic Progression

Answers

1.
1116
2.
Option C

3.
74
4.
129
5.
25
6.
5, 7, 9, 11.......
7.
65
8.
Option A
9.
Option C

10.
40
11.
Option B

12.
-1.5,-2,-2.5,-3...
13.
55
14.
a15 = -45
15.
Option B

16.
5,8,11,14,17
17.
Option B
18.
Option D

19.
57
20.
1

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