(i) nth term of some sequence are given below. Which term can be the

1.	(i) nth term of some sequence are given below. Which term can be the nth term of an AP?(a) an = n(n + 1)(b) an = 2 + 5n(c) an = 2n + 2(d) an = n2 + n + 1(ii) If the sum of 12th and 22nd terms of an AP is 100. Find the sum of first 33 terms.
Answer» (i) (b) a_n = 2 + 5n. (ii) t₁₂ + t₂₂ = 100 ⇒ a + 11d + a + 21d = 100 ⇒ 2a + 32d = 100 S₃₃ = \(\frac{33}{2} (2a + 32d) = \frac{33}{2} \times 100 = 1650\)

(i) nth term of some sequence are given below. Which term can be the nth term of an AP?(a) an = n(n + 1)(b) an = 2 + 5n(c) an = 2n + 2(d) an = n2 + n + 1(ii) If the sum of 12th and 22nd terms of an AP is 100. Find the sum of first 33 terms.

Answer»

(i) (b) a_n = 2 + 5n.

(ii) t₁₂ + t₂₂ = 100

⇒ a + 11d + a + 21d = 100

⇒ 2a + 32d = 100

S₃₃ = \(\frac{33}{2} (2a + 32d) = \frac{33}{2} \times 100 = 1650\)

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(i) nth term of some sequence are given below. Which term can be the nth term of an AP?(a) an = n(n + 1)(b) an = 2 + 5n(c) an = 2n + 2(d) an = n2 + n + 1(ii) If the sum of 12th and 22nd terms of an AP is 100. Find the sum of first 33 terms.

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