Question

first term and common difference of an ap are 12and 4 respectively. if tn=96 find n​

Answer 1

Answer:

The answer is 22

Step-by-step explanation:

Concept: If first term of an A.P. is $a$ and common difference $d$, then general term(nth term) of the A.P. is given by

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

Here $a=12,d=4,t_n=96,n=?$

Using above result,     $t_n=12+(n-1)4$

                                 $\Rightarrow 96=12+4n-4\\\Rightarrow 96-12+4=4n\\\Rightarrow 88=4n\\\Rightarrow n=\dfrac{88}{4}=22$