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SAI INTERNATIONAL SCHOOL

Class X

Sub: Mathematics

Worksheet-5.1

Ch-5 Arithmetic Progression

1. Which of the following is not an AP?
(a) 3, 6, 9, 12, …..
(b) 21, 17, 13, 9, …..
(c) 2, 5, 8, 11, …..
(d) 13, 15, 18, 22,….

2. If the sequence a n = 2n + 1 is an A.P, then a and d are
(a) 2, 3
(b) 1, 2
(c) 2, 4
(d) 3, 2

3. In an AP, if a = 3.5, d = 0, n = 101, then a n will be
(a) 0
(b) 3.5
(c) 103.5
(d) 104.5

4. The first four terms of an AP, whose first term is –2 and the common difference is
–2, are
(a) – 2, 0, 2, 4
(b) – 2, 4, – 8, 16
(c) – 2, – 4, – 6, – 8
(d) – 2, – 4, – 8, –16

5. If x, y, z are in AP, then 2y = _______

th
th
th
6. If the 8 term of an A. P. is 31 and the 15 term is 16 more than the 11 term, find
the A. P.
7. The general term of a sequence is given by a n = -4n + 15. Is the sequence an
th
A.P.? If so, find its 15 term and the common difference.
8. Check whether – 150 is a term of the AP: 11, 8, 5, 2 . . .

9. Which term of the A.P. 3, 15, 27, 39, … will be 132 more than its 54th term?
10. Which term of the AP: 21, 18, 15, . . . is – 81? Also, is any term 0? Give reason