Question

Please help!!!
Identify the 35th term of an arithmetic sequence where a1 = -7 and a18 = 95


The answer choices are:
A) 203
B) 197
C)168
D)163

Answer 1

\[a _{1}=-7\] and \[a _{18}=95\]

Answer 2

do you know the formula for arithmetic sequence to get the nth term?

Answer 3

No I do not :(

Answer 4

do you know how to use search engines?

Answer 5

The formula is: \[
a_n = a_1+(n-1)d
\]

Answer 6

We can use \(a_1=-7\) and \(a_{18}=95\) to find \(d\).

Answer 7

If we manipulate this equation, we find:\[
a_n=a_1+(n-1)d \implies a_n-a_1=(n-1)d \implies d=\frac{a_n-a_1}{n-1}
\]

Answer 8

It was too much for her, she logged off.

Answer 9

In general, we can say \[
d=\frac{a_n-a_k}{n-k}
\]Where \(k<n\). The \(d\) corresponds to the slope.