How do you test #\sum _ { m = 1} ^ { \infty } \frac { ( - 6) ^ { m + 1} } { 4^ { 8m } }# for convergence or divergence?
1 Answer
May 20, 2017
This series is convergent by the geometric series test.
Explanation:
Rewrite the fraction using exponent rules
Because the absolute value of the common ratio
To find what it converges to:
Geometric series that converge converge to