Question

find the indicated terms of the arithmetic sequence with the given description. the 50th term is 1001, and the common difference is 6. find the first and second terms.

Answer 1

a₁ = 707 a₂ = 713

Explanation:

the nth term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

a₁ is the first term, d the common difference , n the term number

given

a₅₀ = 1001 , then

a₁ + 49d = 1001 ← substitute d = 6

a₁ + 49(6) = 1001

a₁ + 294 = 1001 ( subtract 294 from both sides )

a₁ = 707

and a₂ = a₁ + d = 707 + 6 = 713