Question

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values, how many terms are in this geometric series

Answer 1

Answer:

There are 5 terms in the series.

Step-by-step explanation:

$S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776$

Take logs to get n = 5

Answer 2

Answer:

5

Step-by-step explanation: