Question

11th term of the AP -3, -1/2, 2......

Answer 1

$\bf{\underline{\underline{Question}}}$

AP = -3 , -1/2 , 2............,

$\bf{\underline{\underline{Solution}}}$

$\bf{a_{1}\:=\:-3}$

$\bf{a_{2}\:=\:{\frac{-1}{2}}}$

$\bf{a_{3}\:=\:2}$

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$\bf{d\:= a_{3}\:-\:a_{2}}$

$\bf{d\:=\:2\:-({\frac{-1}{2}})=\:{\frac{5}{2}}}$

$\bf{Formula\:for\:Finding\ 11^{th}term,}$

$\bf{a_{11}\:=\: a\:+\:10\:d}$

$\bf{Putting\:Values,}$

$\bf{a_{11}\:=\: -3 \:+\:10\:({\frac{5}{2})}}$

$\bf{a_{11}\:=\: -3 \:+\: \cancel10\:({\frac{5}{\cancel2})}}$

$\bf{a_{11}\:=\: -3 \:+\: (5)(5)}$

$\bf{a_{11}\:=\: -3 + 25}$

$\bf{a_{11}\:=\: 22}$

$\bf{\underline{\underline{Thanks}}}$