4. [0/3 Points] PREVIOUS ANSWERS Find the exact sum of the infinite geometric series. If the series diverges, enter DIVERGES. 1 1 1 1 _ ___+__ 4 1+4 16 64 256+ 5. [-13 Points] Find the exact sum of the infinite geometric series. If the series diverges, enter DIVERGES. gel 6. [-14 Points] Determine if the following statements are true or false. a) Given a geometric series, multiply every term by the same nonzero constant c. The resulting series must also be geometric. 0 True 0 False b) A new series is obtained from a geometric series by taking the reciprocal of each term. The new series must also be geometric. 0 True 0 False