Question

Find the 15th term of the arithmetic sequence whose common difference is d=-6 and whose first term is a1=1 .

Answer 1

a₁₅ = - 83

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 a₁ = 1 and d = - 6 , then

a₁₅ = 1 + (14 × - 6) = 1 + (- 84) = 1 - 84 = - 83