Question

find the 61st term of this arithmetic sequence.
0, 6, 12, 18, 24, ...
a_{61} =
hint: a_n = a_1 + (n - 1)d

Explanation:

Step1: Identify sequence parameters

First term $a_1 = 0$, common difference $d = 6-0 = 6$, target term $n=61$.

Step2: Use arithmetic sequence formula

The formula for the $n$-th term is $a_n = a_1 + (n-1)d$.
Substitute values: $a_{61} = 0 + (61-1)\times6$

Step3: Calculate the result

Simplify the expression: $a_{61} = 60\times6 = 360$

Answer:

360