Question 156348
exponetial series with the following (x,y) points (1,1), (2,3), (3,6), (4,10), (nth,?
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Exponential Form: y = ab^x
You need to determine a and b.
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Substitute x and y from any two points to get two equaitons:
1 = ab^1
6 = ab^3
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Divide the 1st into the 2nd
6 = b^2
b = sqrt(6)
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Substitute to solve for "a":
1 = a(sqrt(6))^1
a = 1/sqrt(6)
a = 0.408248
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EQUATION:
y = (0.408248)(sqrt(6))^x
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Cheers,
Stan H.