Question

Find 16th term of the A.P.given as -5, -5/2, 0, 5/2…………….


please answer it ​

Answer 1

$\LARGE\star\boxed{\mathfrak\pink{\underline{\underline{Answer}}}}\star$

$\large\textbf{ \dfrac{65}{2} }$

$\LARGE\star\star\boxed{\mathbb\red{\underline{\underline{GIVEN}}}}\star\star$

$\large\odot\:\:\textbf{A.P.\:=\:-5\:,\: \dfrac{-5}{2} \:,\:0\:,\: \dfrac{5}{2} \:,\:....}$

$\large\odot\:\:\textbf{ a_1\:or\:a\:=\:-5 }$

$\large\odot\:\:\textbf{d= \dfrac{-5}{2}\:-\:(-5) }$

$\large\longrightarrow\textbf{d= \dfrac{5}{2} }$

$\LARGE\star\star\star\boxed{\mathbb\green{\underline{\underline{TO\:FIND}}}}\star\star\star$

$\large\odot\:\:\textbf{ 16_{th} \:term\:of\:A.P.}$

$\LARGE\star\star\star\boxed{\mathcal\red{\underline{\underline{Explanation}}}}\star\star\star$

$\Large\boxed{\texttt{Formula\:=\:a\:+\:(n-1)d}}$

$\Large\texttt{where }$

$\large\odot\:\:\textsf{a is the first term }$

$\large\odot\:\:\textsf{n is the number of term}$

$\large\textsf{which we have to find}$

$\large\odot\:\:\textsf{d is the difference}$

$\large\textsf{between two terms}$

$\large\Longrightarrow\textsf{ T_n = -5+(16-1) \dfrac{5}{2} }$

$\large\Longrightarrow\textsf{ T_n = -5+15 \dfrac{5}{2} }$

$\large\Longrightarrow\textsf{ T_n = -5+ \dfrac{75}{2} }$

$\large\Longrightarrow\textsf{ T_n = \dfrac{-10+75}{2} }$

$\large\Longrightarrow\textsf{ T_n = \dfrac{65}{2} }$

$\Large\therefore\textbf{The\:Answer\:is\: \dfrac{65}{2} }$

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Answer 2

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