Question

please answer this question ​

Answer 1

$\huge\red {\boxed {\mathfrak {AnsWer:-}}}$

$\sf\orange {\underline {\sf Given:-}}$

A.P = 6,10,14,18...,174

{a}{1} = 6

d = {a}{2}-{a}{1}

d = 10-6

d = 4

Last term an = 174

$\sf\green {\underline{\sf To\:Find:-}}$

${n}^{th} term$

$\sf\blue {\underline {\sf Now:-}}$

${a}{n}$= a+(n-1)d

174 = 6+(n-1)4

174 = 6+4n-4

174 = 4n+2

174-2 = 4n

172 = 4n

$\frac {172}{4}$ = n

n= 43

$\huge\color{aqua}There\:are\:43\:terms$