Question

-8, -5 ,-2, a, 4....the value of a is iwill mark brainlist

Answer 1

Answer :

$\large\boxed{\sf{\star\:\:a\:=\:1\:\:\star}}$

Explanation :

Given :–

• A.P.  :- (-8) , (-5) , (-2) , a , 4 , ...
• where t₁ (t) = (-8) , d = 3 .

To Find :–

• The value of 4th term of this A.P. (a)

Formula Applied :–

• $\boxed{\sf{\star\:\:a_n\:=\:t\:+\:(n\:-\:1)d\:\:\star}}$

Solution :–

We have , t = (-8) , d = 3 , n = 4.

And we also know the formula $\sf{a_n\:=\:t\:+\:(n\:-\:1)d}$.

Putting these values in the above formula , we get :

$\sf{\rightarrow a_4\:=\:t\:+\:(4\:-\:1)d}$

$\sf{\rightarrow a\:=\:(-8)\:+\:[3\:\times\:(3)]}$

$\sf{\rightarrow a\:=\:(-8)\:+\:(3\:\times\:3)}$

$\sf{\rightarrow a\:=\:(-8)\:+\:9}$

$\sf{\rightarrow \boxed{\sf{a\:=\:1}}}$

∴ The value of a will be 1.