Answer
The geometric series is: $1,2, 4,8,16$.
The arithmetic series is: $0,3.1, 6.2, 9.3, 12.4$
Work Step by Step
Consider the geometric series $1,2, 4,8,16$. This shows that the sum is $31$.
The general formula for the sum of the nth term of an arithmetic series is given by $S_n= \dfrac{n}{2}(a_1+a_n)$
We know that $a_n=a_1+(n-1)d$
Thus, $S_n= \dfrac{n}{2}(2a_1+(n-1)d)$
$31= \dfrac{5}{2}(2(0)+(5-1)d)$
This gives: $d=\dfrac{31}{10}=3.1$
Thus, we have the arithmetic series: $0,3.1, 6.2, 9.3, 12.4$
