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

1 Answer

5 votes

Answer:

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

User Dinith
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