Question

The explicit formula for a sequence is

an=−1+3(n−1)

What is the 55th term of the sequence?

Answer 1

Explanation:

`\because \: a_n = - 1 + 3(n - 1) \\ \\ \therefore \: a_(55) = - 1 + 3(55 - 1) \\ \\ \therefore \: a_(55) = - 1 + 3 * 54 \\ \\ \therefore \: a_(55) = - 1 + 162\\ \\ \huge \blue { \boxed{\therefore \: a_(55) = 161}}\\ \\`

Hence, the 55th term of the sequence is 161.