Question

17) In an AP is d =-4, n = 7,an = 4, then a is ____​

Answer 1

Hope it helps!!!

Thanks

Answer 2

Given :-

• d = -4

• n = 7

• $\sf\ a_{n}$= 4

Answer :-

• 28

Solution :-

As we know that ,

$\bf{\underline{\boxed{\red{\ a_{n}=a+(n-1)d}}}}$

• Now put the given value in this formula , and then find the value of a for this A.P

$\implies\sf{4=a+(7-1)(-4)}$

${}$

$\implies\sf{4=a+(6)(-4)}$

${}$

$\implies\sf{4=a-24}$

${}$

$\implies\sf{a = 4+24}$

${}$

$\implies\sf{a = 28}$

${}$

So, the A.P starts from 28 , means the first term of A.P is 28

$\bf{\underline{\underline{\green{Related\: Points}}}}$

★ a is the first term of the A.P

★ d is the common Difference between terms

★ $\ a_{n}$ is the last term of A.P

★ n is the number of terms in A.P