If A is the sum of the n terms of the series 2 + 1/2 + 1/8 + ... and B

1.	If A is the sum of the n terms of the series 2 + 1/2 + 1/8 + ... and B is the sum of 2n terms of the series 2 + 1 + 1/2 + ..., then find the value of B/A. (a) 1/3 (b) 2 (c) 2/3 (d) 3/2
Answer» Correct option (d) 3/2 Explanation: Solve this question by looking at hypothetical values for n and 2n terms. Suppose, we take the sum to 1 (n = 1) term of the first series and the sum to 2 terms (2n = 2) of the second series we would get B/A as 3/2 For n = 2 and 2n = 4 we get A =5/2 and B = 15/4 and B/A = 15/4/5/2 = 3/2 Thus, we can conclude that the required ratio is always constant at 3/2 and hence the.

If A is the sum of the n terms of the series 2 + 1/2 + 1/8 + ... and B is the sum of 2n terms of the series 2 + 1 + 1/2 + ..., then find the value of B/A. (a) 1/3 (b) 2 (c) 2/3 (d) 3/2

Answer»

Correct option (d) 3/2

Explanation:

Solve this question by looking at hypothetical values for n and 2n terms. Suppose, we take the sum to 1 (n = 1) term of the first series and the sum to 2 terms (2n = 2) of the second series we would get B/A as 3/2

For n = 2 and 2n = 4 we get A =5/2 and B = 15/4 and B/A = 15/4/5/2 = 3/2

Thus, we can conclude that the required ratio is always constant at 3/2 and hence the.

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If A is the sum of the n terms of the series 2 + 1/2 + 1/8 + ... and B is the sum of 2n terms of the series 2 + 1 + 1/2 + ..., then find the value of B/A. (a) 1/3 (b) 2 (c) 2/3 (d) 3/2

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