Ans B Sol Let 2n starts from rth term By observation we can see that r 2n Also 2n ends at r 2n th term So 2n 1025 2 2n 2n 210 1 2 2n n 10 210 is 1025th term Hence B is the correct answer

. If the sequence

1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ….. where n consecutive terms has value n then 1025^th term is\

A. 2⁹

B. 2¹⁰

C. 2¹¹

D. 2⁸

Best Answer

Ans: B

Sol: Let 2ⁿ starts from rth term. By observation we can see that r = 2ⁿ. Also 2ⁿ ends at (r + 2ⁿ)th term.

So 2ⁿ £ 1025 £ 2 . 2ⁿ

2ⁿ £ 2¹⁰ + 1 £ 2 . 2ⁿÞ n = 10.

2¹⁰ is 1025^th term.

Hence (B) is the correct answer.

. If the sequence

Best Answer

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