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64, -48, 36, -27
which formula describes the sequence?

1 Answer

1 vote

Answer:

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4), T(0) =64, n=0,1,2,...

Explanation:

The common ratio is -3/4, i.e.

(-3/4) * 64 = -48

(-3/4) * 48 = 36

(-3/4) * 36 = -27

...

The formula would be

T(n) = 64 (-3/4)^n, n=0,1,2,...

or sometimes

T(n) = T(n-1)(-3/4), T(0) =64, n=0,1,2,...

Note: Would have been easier if the choices were supplied.