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Mathematics 11 Online
OpenStudy (anonymous):

Only would like an explanation on how to get the Answer, I understand how to do it I just want to make sure I'm getting it right. Will Fan and Medal What is the 17th term of this sequence? 3, 11, 19, 27, 35, ...

OpenStudy (anonymous):

The answer I got was 130 and 136.

OpenStudy (anonymous):

@Miracrown

OpenStudy (anonymous):

@abb0t

OpenStudy (anonymous):

how did you get two answers?

OpenStudy (anonymous):

Well, the first one I counted it all out and got 130. The second one I took 6*17 and got 136.

OpenStudy (anonymous):

You probably counted wrong the first time, and I'm not sure where the 6 came from. Either way there's a formula for this. \[a_n=a_1+d(n-1)\] a_1 is the first term of the sequence d is the difference between each term (for example 11-3) n is the term your looking for. You're looking for a_17, so n = 17 Try it out

OpenStudy (anonymous):

I got 96?

OpenStudy (anonymous):

No. can you show me your formula so I can see where you're going wrong?

OpenStudy (anonymous):

That's how it would look right?

OpenStudy (anonymous):

Oops.

OpenStudy (anonymous):

\[a _{n}=a _{1}+6(17-1)\]

OpenStudy (anonymous):

Two mistakes. a_1 is the first term of your sequence, which is 3. Also, you're using the wrong common difference. The pattern is adding 8, not 6. So d = 8

OpenStudy (anonymous):

Oh! Sorry, I side looked that. Let me try again

OpenStudy (anonymous):

ok. no problem

OpenStudy (anonymous):

128 is the answer I got.

OpenStudy (anonymous):

did you remember to add the 3 from a_1?

OpenStudy (anonymous):

Yes, I did :)

OpenStudy (anonymous):

Check your work to this |dw:1435109581581:dw|

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