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  • 08-08-2019
  • Mathematics
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Find the 100th term of the arithmetic sequence with first term 4 and eighth term 32.

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  • 12-08-2019

Answer:400

Step-by-step explanation:

Given

First term a=4

and 4th term is 32

i.e.

[tex]a_8=32[/tex]

let d be the common difference

a+7d=32

a=4

therefore

7d=32-4=28

d=4

Therefore 100 th term is

[tex] a_{100}=a+99d=4+99\cdot 4=400 [/tex]

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