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

Answer 1

Try using the partial sum formula for geometric sequences:
\(\huge S(n)=a_1 \frac{1-r^n}{1-r}\)
Here you would modify j=i-1, so you would sum from j=0 to j=4
and the expression to be summed would be \(3(5^{j})\)