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3 years ago

Find the sum of the arithmetic series given a1=8,a14=99,n=14.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

Answer:

The sum of the series is: 749

Step-by-step explanation:

Given

$a_1 = 8$

$a_{14} = 99$

$n = 14$

Required

The sum of the series

This is calculated using:

$S_n = \frac{n}{2}[a_1 + a_n]$

Substitute 14 for n

$S_{14} = \frac{14}{2}[a_1 + a_{14}]$

$S_{14} = 7[a_1 + a_{14}]$

Substitute values for a1 and a14

$S_{14} = 7[8 + 99]$

$S_{14} = 7*107$

$S_{14} = 749$

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