Use the provided sums to evaluate the given expression.
-$\sum _ { i = 1 } ^ { 40 } i = 820$ and $\sum _ { i = 1 } ^ { 40 } i ^ { 2 } = 22,140 ;$ evaluate $\sum _ { i = 1 } ^ { 40 } \left( 5 i ^ { 2 } + 9 i \right)$
A) 118,080
B) 22,960
C) 111,520
D) 203,360

Question

Quizplus · Accepted Answer

The given expression can be rewritten using the distributive property of summation as $5\sum _ { i = 1 } ^ { 40 } i ^ { 2 } + 9\sum _ { i = 1 } ^ { 40 } i$. Substituting the given sums, we get $5(22,140) + 9(820) = 110,700 + 7,380 = 118,080$.

Use the Provided Sums to Evaluate the Given Expression ∑i=140i=820\sum _ { i = 1 } ^ { 40 } i = 820∑i=140​i=820

Use the Provided Sums to Evaluate the Given Expression $\sum _ { i = 1 } ^ { 40 } i = 820$