Find explicit formula that generates a sequence whose first four terms are:
1000, 400, 160, 64

This is a geometric sequence.

a = 1000 is the first term

r = 0.4 is the common ratio (since a2/a1 = 400/1000 = 0.4)

a(n) = a*r^(n-1)

a(n) = 1000*0.4^(n-1)

a(n) = 1000*0.4^n*0.4^(-1)

a(n) = 1000*0.4^n*2.5

a(n) = 1000*2.5*0.4^n

a(n) = 2500*(0.4)^n

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step-by-step explanation:

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