Question

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

Answer 1

@SolomonZelman

Answer 2

Do you know the formula for n'th term of arithmetic sequence ?

Answer 3

no not really

Answer 4

\(\LARGE\color{blue}{ a_{18}=a_{1} +d(18-1) }\)

Answer 5

and you know the a18 and a1
find the difference
then find the 35th term

Answer 6

do you just plug in the other numbers?

Answer 7

\(\Large\color{black}{ \bf95=-7+d(18-1) }\) solve for d

Answer 8

k

Answer 9

The nth term of an arithmetic sequence is:
\(\Large a_n = a_1 + (n-1)d\)
You are given the first term and the eighteenth term.
From these two pieces of information you can find the common difference 'd'
Plug the numbers into the above formula and find d.

Then use the same formula to find the 35th term (by setting n = 35)

Answer 10

6?

Answer 11

is it 6?

Answer 12

Yes, d = 6.

Answer 13

is that it

Answer 14

203
197
168
163

Answer 15

You have to find the 35th term.

The nth term of an arithmetic sequence is:
\(\Large a_n = a_1 + (n-1)d\)
Plug in the numbers:
\(\Large a_n = -7 + (n-1)*6\)
Find the 35th term by setting n = 35:
\(\Large a_{35} = -7 + (35-1)*6 = ?\)

Answer 16

197

Answer 17

Yes.

Answer 18

thanks for the help

Answer 19

You are welcome.