Question

1 Identify whether the series summation of 16 open parentheses 5 close parentheses to the I minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.
A This is a convergent geometric series. The sum cannot be found. (I think this)

B This is a divergent geometric series. The sum cannot be found.

C This is a convergent geometric series. The sum is –4.

D This is a divergent geometric series. The sum is –4.

Answer 1

Sum to infinite for
1) arithmetic series is always divergent, sum is infinite.
2) geometric series is convergent if -1 < common ratio < 1 otherwise it is divergent.

b) is correct , (r = 5) > 1