Mathematics: For the following arithmetic sequence, if d=5 and a_100=1000,what is a_1 ?

For the following arithmetic sequence, if d=5 and

Ответ:

GabbiL

01.01.2022

Mathematics

An arithmetic sequence has the recursive structure

$a_n=a_{n-1}+d$

and can be solved explicitly for the

term,

, in terms of the first term of the sequence a_1

.

$a_n=a_{n-1}+d$
$\implies~a_n=a_{n-2}+2d$
$\implies~a_n=a_{n-3}+3d$
$\implies\cdots\implies a_n=a_1+(n-1)d$

You know the 100th term of the sequence is $a_{100}=1000$ and that the common difference between terms is d=5

, which means you have enough information to find the first term:

$a_{100}=a_1+(100-1)\times5\implies1000=a_1+99\times5\implies a_1=505$

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Ответ:

isabelperez063

24.06.2020

Mathematics

E
It is h lets seee I don’t know
FOOL USE YA BRAIN IM JUAT PLAYING BUT IDK

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For the following arithmetic sequence, if d=5 and a_100=1000,what is a_1 ?

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