Question

An = -2 + 3/2 (n-1)
What is the 21st term of the sequence?​

Answer 1

`a_(n) = -83/40`

Explanation:

Given

`a_(n) = -2 + 3/2 (n-1)`

In this problem to find 21st term we put 21 in place of n in the equation

`a_(n) = -2 + 3/2 (21-1) = \\a_(n) = -2 + 3/2 (20)\\a_(n) = -2 + 3/40 = (-2*40 +3)/40 \\a_(n) = -83/40\\`

Thus, 21st term is -83/40.