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Anna35 [415]
3 years ago
13

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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