Michigan State University - Diagnostic Exam

5.6

  •   Which of the following is equal to the sum 1 + 2 + (2)2 + (2)3 + + (2)30 ?

    a) 231 - 1 b) 1 - 231 c) 230 - 1 d) 1 + 231 e) 2(230 + 1)

Solution:

                                    1 - 231
1 + 2 + (2 )2 + (2)3 + ...+ (2)30  =  -------
                                     1 - 2
                                 =  231 - 1

Diagnostic:

If you miss this question please review Geometric Series.


July 15, 2008