SOLUTION: what is the next number in this series 4, 7, 16, 43, 124

Question 829363: what is the next number in this series 4, 7, 16, 43, 124
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
This is surely an exponential growth. Pick your base, either e or 10, or whatever you like; and try to fit to .
Use x as the index for your domain of Natural Numbers.

The exponential equation can be put into a linear form:

---as a linear equation.
Recognize that log(b) for your chosen base of b will be 1.

-
Your function NOW is log(y) for the vertical component and x for the horizontal component. This is an equation for a line, which your actual data may likely fit well. The slope is k, and the vertical axis intercept is log(a).

Now knowing k and log((a)), your next value for x should be 6. Use this to determine log((y)), and then find y.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
what is the next number in this series 4, 7, 16, 43, 124

Rule: , with
Thus, the 6th term is: , or .
Do a check after!!
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