Question

Evaluate the sum from n equals four to ten of quantity five n plus two.

Answer 1

Answer:

The answer is D. 259

Step-by-step explanation:

Step 1: $\sum _{n=4}^{10}5n+2$

Step 2: $\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2$

Step 3:

$\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295$

$\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36$

Step 4: $295-36=259$