There is an AP 1, 3, 5…. Which term of this AP is 55?a)27thb)26thc)25thd)28thCorrect answer is option 'D'. Can you explain this answer?

Question

There is an AP 1, 3, 5&#8230;. Which term of this AP is 55?a)27thb)26thc)25thd)28thCorrect answer is option 'D'. Can you explain this answer?

Answer

Solution:

Given, AP 1, 3, 5

Let the nth term of this AP be 'a'

We know that nth term of an AP is given by a = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Here, a = 1, d = 3 - 1 = 2, and we have to find the term for a = 55

So, 55 = 1 + (n-1)2

54 = 2n - 2

56 = 2n

n = 28

Therefore, the 28th term of this AP is 55.

Hence, the correct option is 'D'.

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