Question

If the first term of an AP is 12 and the common difference is -2, then term of the AP will be 0.

• A. $6^{th}$
• B. $7^{th}$
• C. ${10}^{th}$
• D. ${12}^{th}$

Answer 1

The correct option is B $7^{th}$

Given first term(a) = 12 and common difference(d) = -2.
Let the term of the AP which is equal to 0 be the $n^{th}$ term.
$a+(n-1)d=0$
$12+(n-1)(-2)=0$
$12+2-2n=0$
$n=7$
Hence, the value of $7^{th}$ term will be 0.