Question

Find the 100th term of the sequence -7, 3, 13, 23, ...

-1097
1093
40

Answer 1

Do you know the arithmetic sequence formula?

Answer 2

Oh and 1083

Answer 3

Yes! If a sequence of values follows a pattern of adding a fixed amount from one term to the next. (I looked up earlier)

Answer 4

\[\LARGE a_{n}=a_{1}+(n-1)d\]
where a1 is the first term of the sequence,
d is the common difference, n is the number of the term to find.

Answer 5

Yup that's it!

Answer 6

So now just plug in your information..
\[\LARGE a_{100}=-7+(100-1)10\]

Answer 7

So solve this:
\[\LARGE a_{100}=-7+990\]

Answer 8

I messed up didn't I? =.=

Answer 9

893

Answer 10

Lol yeaa it's okay

Answer 11

So what am I plugging in? Tell me that and I'll be good to go! :)

Answer 12

I did everything right tho o.O
n=100
a1=-7
d=10

Answer 13

Hmm, Let's see. Where did 10 come from?

Answer 14

That's the commone difference, is it not? It's being add everything time.

Answer 15

Wow Correct, and my answer choices are:
1083
-1097
1093
40

Something's wrong with my choices aren't there?

Answer 16

*facepalm* Of course it is!

Answer 17

It's not "Find the 100th term of the sequence" it's "Find the 110th term of the sequence!"

Answer 18

So that means it will be a110=-7+(110-1)10 ! Right?

Answer 19

Oh, that would make more sense xD
But yea, that's right.. it should give you 1083 :)

Answer 20

And then 1083!

Answer 21

Right! Thank you Luigi!

Answer 22

You're welcome~

Answer 23

See ya!