Evaluate the sum using the summation formula and property.
$\sum _ { i = 1 } ^ { 30 } i ^ { 2 }$
A)9,355
B)9,455
C)9,655
D)9,255
E)9,555

Name: Evaluate the sum using the summation formula and property. $\sum _ { i = 1 } ^ { 30 } i ^ { 2 }$ A)9,355 B)9,455 C)9,655 D)9,255 E)9,555
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Question

Evaluate the sum using the summation formula and property. 
 $\sum _ { i = 1 } ^ { 30 } i ^ { 2 }$  
A)9,355
B)9,455
C)9,655
D)9,255
E)9,555

Quizplus · Accepted Answer

The sum of squares formula is $\sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6}$. For $n = 30$, it becomes $\frac{30 \times 31 \times 61}{6} = 9,455$.

Evaluate the Sum Using the Summation Formula and Property ∑i=130i2\sum _ { i = 1 } ^ { 30 } i ^ { 2 }∑i=130​i2

Evaluate the Sum Using the Summation Formula and Property $\sum _ { i = 1 } ^ { 30 } i ^ { 2 }$