Class 10 · Mathematics · Mathematics

5. Arithmetic Progressions

Try question 1

The 10th term of the AP 2, 7, 12, … is

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Answer and explanation

Answer: B. 47

a = 2, d = 5, so a₁₀ = 2 + 9 × 5 = 47.

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Try question 2

The common difference of the AP 3, 1, −1, −3, … is

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Answer and explanation

Answer: A. −2

d = 1 − 3 = −2.

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Try question 3

The sum of the first 20 positive integers is

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Answer and explanation

Answer: C. 210

S = n(n + 1)/2 = 20 × 21/2 = 210.

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