Respuesta :

SOLUTION

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

STEP 1: write the given details

[tex]a_1=45,a_n=85,n=5[/tex]

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

STEP 3: Find the sum

By substitution,

[tex]\begin{gathered} S_n=5(\frac{45+85}{2}) \\ S_n=5(\frac{130}{2})=5\times65=325 \end{gathered}[/tex]

Hence, the sum of the series is 325

Ver imagen AnmolX68663