Sequences and Progressions — sample questions with answers.

2934 verified sequences and progressions questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Multiple choice

The 26th term of the AP 5, 7, 9, … is

(A) 53	(B) 55
(C) 80	(D) 57

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(b) 55

2 marks Short answer

For the AP 8, 3, -2, -7, …, write (i) the nth term as an explicit rule and (ii) a recursive rule.

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(i) tₙ = -5n + 13 (ii) t₁ = 8, tₙ = tₙ₋₁ − 5 for n ≥ 2

3 marks Short answer

In an AP the 3th term is -7 and the 11th term is -23. Find the first term, the common difference, and the 31th term.

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a = -3, d = -2; 31th term = -63

5 marks Long answer

For the AP -2, -7, -12, -17, … (i) write the nth term as an explicit rule. (ii) Write a recursive rule. (iii) Find the 26th term. (iv) Which term equals -87? (v) Is -86 a term? Explain.

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(i) tₙ = -5n + 3. (ii) t₁ = -2, tₙ = tₙ₋₁ − 5. (iii) -127. (iv) the 18th term. (v) No — -5n + 3 = -86 gives a non-whole n.

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 9 Mathematics, board-pattern, with a fresh answer key every time.

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