Which term of the series 92, 88, 84, … is 0?

Concept Used:-

The sequence where the common difference between the successive terms is the same is called the Arithmetic Progression (AP).

The last term of Arithmetic Progression can be found using the following formula;

⇒ l_n = a + (n – 1) × d

Where, a is the first term, d is the common difference and n is the total terms of AP.
Explanation:-

Given series is 92, 88, 84, ....

It is a decreasing sequence, where the common difference between the terms is the same.

First term of the series a = 92

Common difference,

⇒ d = 88 - 92 = - 4

⇒ d = 84 - 88 = - 4

Suppose the nth term of the series is 0. Thus, from the above formula,

⇒ ln = a + (n – 1) × d

⇒ 0 = 92 + (n – 1) ×(-4)

⇒ - 92 = (n – 1) × (-4)

⇒ 92 / 4= (n – 1)

⇒ n = 23 + 1

⇒ n = 24

So, the 24th term of the series 92, 88, 84, … is 0.
Hence, the correct option is 1.