If the $6th$ term of arithmetic progression is $11$ and the first term is $1$ , find the common difference

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Odinaka_OTyro

Asked: December 26, 20202020-12-26T10:49:39+00:00 2020-12-26T10:49:39+00:00In: Arithmetic, Numbers and Combinatorics

If the $6th$ term of arithmetic progression is $11$ and the first term is $1$ , find the common difference

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If the $6th$ term of arithmetic progression is $11$ and the first term is $1$ , find the common difference

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Sengemegz · Accepted Answer · 2020-12-26T21:05:45+00:00

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Sengemegz Moderator

2020-12-26T21:05:45+00:00Added an answer on December 26, 2020 at 9:05 pm

$T_{n}=a+(n-1)d$
Given $T_{6}=11$ and $a=1$
$\Rightarrow T_{6}=1+(6-1)d$
$\Rightarrow 11=1+5d$
$\Rightarrow 11-1=5d$
$\therefore 10=5d$
Divide both sides by 5
$\Rightarrow d=2$

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