Answered

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

Sagot :

MrRoyal

Answer:

The sum of the series is 749

Step-by-step explanation:

Given

[tex]a_1 = 8[/tex]

[tex]a_{14} = 99[/tex]

[tex]n = 14[/tex]

Required

The sum of the series

This is calculated using:

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

Substitute 14 for n

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

[tex]S_{14} = 7[a_1 + a_{14}][/tex]

Substitute values for a1 and a14

[tex]S_{14} = 7[8 + 99][/tex]

[tex]S_{14} = 7*107[/tex]

[tex]S_{14} = 749[/tex]

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