Question

For every integer k from 1 to 10, inclusive, the kth term of a certain sequence is given by . If t is the sum of the first 10 terms in the sequence, then t is greater than 2 between 1 and 2 between and 1 between and less than

Answer 1

Answer:

For any integer k from 1 to 10, inclusive, the kth of a certain sequence is given by [(-1)^(k+1)]*(1 / 2^k). If T is the sum of the first 10 terms of the sequence, then T is:

A. greater than 2

B. between 1 and 2

C. between 1/2 and 1

D. between 1/4 and 1/2

E. less than 1/4

This is GMATPREP question. What is the best approach to solve this problem quicker?

by StaceyKoprince Mon Dec 24, 2007 2:52 pm

Hey, couple of things:

- is it supposed to say "the kth NUMBER" or something like that?

- is this bit (1 / 2^k) supposed to read (1/2)^k or 1/(2^k)?

The formatting here is pretty annoying - this one will qualify for a screen shot, if you want to take the time to do that.

Stacey Koprince

Instructor

Director of Online Community

ManhattanGMAT