Questions: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 5+5^2/2+5^3/3+...+5^n/n The summation starts at i=1. What is the upper limit of summation and the general term?

Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 5+5^2/2+5^3/3+...+5^n/n The summation starts at i=1. What is the upper limit of summation and the general term?
Transcript text: Express the sum using summation notation. Use 1 as the lower limit of summation and ifor the index of summation. \[ 5+\frac{5^{2}}{2}+\frac{5^{3}}{3}+\cdots+\frac{5^{n}}{n} \] The summation starts at $\mathrm{i}=1$. What is the upper limit of summation and the general term?
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Solution

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Solution Steps

Step 1: Identify the pattern

We observe that each term in the sum is of the form $\frac{5^i}{i}$, where $i$ is the index of summation.

Step 2: Determine the upper limit

The last term in the sum is $\frac{5^n}{n}$, which corresponds to $i=n$. Therefore, the upper limit of summation is $n$.

Final Answer The summation notation

The sum can be expressed as $\sum_{i=1}^{n} \frac{5^i}{i}$.

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