The 15th term of an arithmetic series is 143 and the 31st term is 183. a) Find the first term and the common difference. b) Find the 100th term of the series.

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Dustin Spengler asked Sep 15, 2023

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24 votes

The 15th term of an arithmetic series is

143 and the 31st term is 183.
a) Find the first term and the common
difference.
b) Find the 100th term of the series.

Mathematics
college

Dustin Spengler asked Sep 15, 2023

by Dustin Spengler

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1 Answer

22 votes

Answer:

-1557

Explanation:

a+14d=143

a+12d=183

--------------------

2d= -40

d= -20

a=183+240=423

a(100th)= 423+99*-20=423-1980= -1557

I hope that help =)

Gagan Raghunath answered Sep 20, 2023

by Gagan Raghunath

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