SOLUTION: 7,14,23,34,?

Question 1015562: 7,14,23,34,?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Each term is a matter of using 2 three times with each positive
integer, as an addend first, as an exponent second, and as a
subtractor third.
Start with the number of term:
1. Use 2 to add.
2. Use 2 as an exponent.
3. Use 2 to subtract.
------------------------------
First term:
Start with 1
1. Use 2 to add. Get 3
2. Use 2 as an exponent. Get 9
3. Use 2 to subtract. Get 7
------------------------------
Second term:
Start with 2
1. Use 2 to add. Get 4
2. Use 2 as an exponent. Get 16
3. Use 2 to subtract. Get 14
------------------------------
Third term:
Start with 3
1. Use 2 to add. Get 5
2. Use 2 as an exponent. Get 25
3. Use 2 to subtract. Get 23
------------------------------
Fourth term:
Start with 4
1. Use 2 to add. Get 6
2. Use 2 as an exponent. Get 36
3. Use 2 to subtract. Get 34
------------------------------
Fifth term:
Start with 5
1. Use 2 to add. Get 7
2. Use 2 as an exponent. Get 49
3. Use 2 to subtract. Get 47
------------------------------
Sixth term:
Start with 6
1. Use 2 to add. Get 8
2. Use 2 as an exponent. Get 64
3. Use 2 to subtract. Get 62
------------------------------
Edwin
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.
7,14,23,34,?
------------------

The formula is

= + (2n+5), n = 1, 2, 3

Next term is 34 + 13 = 47.

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