If $x+1, 2x-1$ and $x+5$ are the AP., find the value of $x$

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Odinaka_OTyro

Asked: December 25, 20202020-12-25T20:58:32+00:00 2020-12-25T20:58:32+00:00In: Arithmetic, Numbers and Combinatorics

If $x+1, 2x-1$ and $x+5$ are the AP., find the value of $x$

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If $x+1, 2x-1$ and $x+5$ are the AP., find the value of $x$

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Sengemegz · Accepted Answer · 2020-12-29T20:04:05+00:00

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Sengemegz Moderator

2020-12-29T20:04:05+00:00Added an answer on December 29, 2020 at 8:04 pm

Recall $d=T_{2}-T_{1}=T_{3}-T_{2}=...$
$\therefore 2x-1-(x+1)=x+5-(2x-1)$
$\Rightarrow 2x-1-x-1=x+5-2x+1$
collect like terms
$\Rightarrow 2x-x-x+2x=5+1+1+1$
$\Rightarrow 2x=8$
Divide both sides by 2
$\therefore x=4$

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