Question 4 the day : February 14, 2003
The question for the day is a sample practice problem in sequences, series - geometric progression. Introduces concepts in GP summation, common ratio.

Question
Given A = 2⁶⁵ and B = (2⁶⁴+2⁶³+2⁶²+...+2⁰)

1. B is 2⁶⁴ larger than A
2. A and B are equal
3. B is larger than A by 1
4. A is larger than B by 1

Correct Answer is A is larger than B by 1. Correct Choice is (4)

Explanatory Answer

B is in G.P. with a = 2⁰, r = 2, n = 65

S_n =

B = 2⁶⁵ - 1
=> B = A - 1
A is larger than B by 1

Question on finding sum of terms of a GP, Problem on finding a particular term of an AP, given sum of two other terms, Summation of AP having negative common difference, Finding terms of an AP, given sum and product of some of its terms, Sum of series of numbers in arithmetic progression, A CAT 2003 question to find sum of terms of an AP

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