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kirill115 [55]
3 years ago
5

Find the indicated sum. Select your choice and click Submit to check your answer.

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

S_4=50

Step-by-step explanation:

Sum Of Arithmetic Sequence

Given an arithmetic sequence

a_1,\ a_1+r,\ a_1+2r,....,\ a_1+(n-1)r

The sum of the n first terms is

\displaystyle S_n=\frac{(a_1+a_n)n}{2}

Or equivalently

\displaystyle S_n=\frac{[2a_1+(n-1)r]n}{2}

The given sequence is

5, 8, 11 ...

We can see the common difference between terms is r=3

We are asked to find the sum of the terms 2 to 5, it means that

a_1=8, n=4, r=3

\displaystyle S_4=\frac{[2(8)+(4-1)3]4}{2}

\displaystyle S_4=\frac{100}{2}

\boxed{S_4=50}

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