Question

Find the sum of the arithmetic series given a₁ =A. 650B. 325C. 642D. 1266Reset SelectionPrevious Jixt45, an=85, and n = 5.

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: write the given details

`a_1=45,a_n=85,n=5`

STEP 2: Write the formula for calculating the sum of arithmetic series

STEP 3: Find the sum

By substitution,

`\begin{gathered} S_n=5((45+85)/(2)) \\ S_n=5((130)/(2))=5*65=325 \end{gathered}`

Hence, the sum of the series is 325