15. Let a1 = 3/4 and an+1 = (-1/2)an for n = 1,2,… What is

A. (1 + 27)/22

B. –(2 + 28)

C. –((1 + 27)/211)

D. (1 + 27)/28

E. (26 – 1)/211

 

Solution: The answer is C

 

Note: This is a time waster. The only reason I can see for using it is to see if the examinee has enough mathematical sense to skip it and come back to it at the end, time permitting.(rjm)

List a few iterations starting with a1 to find the formula for an as follows:

So that,