SOLUTION: For the sequence below how would you solve this: write a recursive formula and fine the next three terms? 3,9,15,21

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Question 36923: For the sequence below how would you solve this: write a recursive formula and fine the next three terms?
3,9,15,21
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Well, the recursive formula depends on the previous terms and "d" (the common difference) to find the next terms.

Your pattern 3,9,15,21.
It is quite obvious the common difference (d) is 6
If it's not obvious, you can subtract t%5B2%5D from t%5B1%5D and then get your commond difference.

The recursive formula is t%5Bn%5D=t%5Bn-1%5D%2Bd
Now just plug in the numbers.

To find the 5th term:
t%5B5%5D=t%5B4%5D%2B6
t%5B5%5D=21%2B6
highlight%28t%5B5%5D=27%29

To find the 6th term:
t%5B6%5D=t%5B5%5D%2B6
t%5B6%5D=27%2B6
highlight%28t%5B6%5D=33%29

To find the 7th term:
t%5B7%5D=t%5B6%5D%2B6
t%5B7%5D=33%2B6
highlight%28t%5B7%5D=39%29
Hope this helps!