Question

given: $a_n = -6n + 1$
find term number 36 in the arithmetic sequence

Explanation:

Step1: Identify the formula and n

We are given the formula for the nth term of an arithmetic sequence \(a_n = -6n + 1\), and we need to find the 36th term, so \(n = 36\).

Step2: Substitute n into the formula

Substitute \(n = 36\) into \(a_n=-6n + 1\). So we have \(a_{36}=-6\times36 + 1\).

Step3: Calculate the value

First, calculate \(-6\times36=-216\). Then, add 1 to it: \(-216 + 1=-215\).

Answer:

\(-215\)