Find the sum of the infinite geometric series, if it exists. 4−1+14−116+...?

Science & Mathematics by Anonymous 2018-05-25 11:04:18

Social Science

5 answers

a) 165 b) does not exist c) - 1 d) 3

Anonymous

This is not a geometric series.
Anonymous

4 − 1 + 1/4 − 1/16 +... By the geometric series test, the series converges. sum_(n=1)^∞ (-1)^(n + 1) 4^(2 - n) = 16/5 Answer choice: a) 16/5
Anonymous

4 - 1 + 1/4 - 1/16 + ... 3 + 3/16 + 3/256 + ... 3(1 + 1/16 + 1/256 + ...) 3(16/15) 16/5 e) none of the above
Anonymous

B does not exist because it diverges
Anonymous

as typed it is NOT a geometric series