Find the 250th term of the Arithmetic sequence shown below 7

Find the 250th term of the Arithmetic sequence shown below: 7, 12, 17, …

Solution

We know

Given an arithmetic sequence with the first term a₁ and the common difference d , the n th (or general) term is given by a_n = a₁ + ( n 1 ) d

let a₁ = 7, d = 5, n=250

then 250th term is a₂₅₀ = 7 + (250-1)5

= 1252