Question

Find $6^{th}$ term of the A.P. $24,20,16,12,........$

Answer 1

Solution:-

Given A.P. - $24,20,16,12,...........$

First term $\left(a\right)=24$

Common difference $\left(d\right)=a_n-a_{n-1}=a_2-a_1=20-24=-4$

As we know that,

$a_n=a+(n-1)d$

where,

$a_n=n^{th}$ term

$\therefore a_6=a+(6-1)d=a+5d=24+5\times (-4)=24-20=4$

Hence, the correct answer is $4$.