Question

In A.P what term of 5,11,17,23,29... will be 377

Answer 1

63 rd term

Explanation:

The n th term of an arithmetic progression is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = 11 - 5 = 17 - 11 = 6, hence

`a_(n)` = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Equate the n th term formula to 377 and solve for n, that is

6n - 1 = 377 ( add 1 to both sides )

6n = 378 ( divide both sides by 6 )

n = 63

Hence 377 is the 63 rd term in the sequence