Question

Find the 53rd term of the arithmetic sequence 27, comma, 11, comma, minus, 5, comma, point, point, .27,11,−5,...

Answer 1

a₅₃ = - 805

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

here a₁ = 27 and d = a₂ - a₁ = 11 - 27 = - 16 , then

a₅₃ = 27 + (52 × - 16) = 27 + (- 832) = 27 - 832 = - 805