Question

Determine the geometric partial sum the sum of 3 times 5 raised to the power quantity i minus 1 for i equals 1 to 5. In complete sentences, explain the necessary steps required to find the partial sum. Explain whether this partial sum is divergent or convergent in nature... please help ive been stuck for hours?

Answer 1

The sum is
\[\large\sum_{i=1}^53(5^{i-1})\]
correct?

Answer 2

The partial sum formula for the geometric series \(\large\displaystyle \sum_{i=1}^nar^n=a\frac{1-r^n}{1-r}\) should help.