Question

Question 4 > Write the arithmetic sequence 37, 33, 29, 25, ... in the standard form: Question Help: Video

Answer 1

`a_(n)` = - 4n + 41

Explanation:

the nth term of an arithmetic sequence is

`a_(n)` = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

here a₁ = 37 and d = a₂ - a₁ = 33 - 37 = - 4 , then

`a_(n)` = 37 - 4(n - 1) = 37 - 4n + 4 = - 4n + 41