#1**+1 **

So since 7 is the second term, we multiply 2 by 4 and add it to 7. We get 15

Our sequence so far: 3,7,15,

Then we multiply 4 and 4 to get 16 as 15 is the FOURTH term then add 16 to 15. We get 31.

Do you notice a pattern? 3,7,15,31.

Yes 2n+1 can represent each change for the terms.

So we keep calculating...

CalculatorUser Apr 14, 2019

#2**+2 **

A little confusing, but....

Term number 1 2 3 4 5 6 7

3 7 15 27 43 63 87

Note that the 3rd term = previous term + 4 times the previous term number = 7 + 4(2) = 15

4th term = 15 + 4(3) = 27

5th term = 27 + 4(4) = 43

6th term = 43 + 4(5) = 63

7th term = 63 + 4(6) = 87

Notice something else.....the difference between terms is 4, 8, 12, 16, 20, 24

Just for the heck of it, what would be the 8th term ????

CPhill Apr 14, 2019

#3**-3 **

If we continue this same rule for the next term in the sequence then...

The 8th term would be: 8th term = 87 + 4(7) = 115

--7H3_5H4D0W

GAMEMASTERX40
Apr 22, 2019