Question

64, â€"48, 36, â€"27,. Which formula can be used to describe the sequence? f(x 1) = Three-fourthsf(x) f(x 1) = Negative three-fourthsf(x) f(x) = Three-fourthsf(x 1) f(x) = Negative three-fourthsf(x 1).

Answer 1

The nth term of the sequence is given as Tn = 64(3/4)^n-1

Given the sequence 64, 48 36, 27...

The given sequence is a geometric sequence. The nth term of a geometric sequence is given as:

• Tn = ar^n-1

• r is the common ratio
• n is the number of terms:

Given the following parameters:

a = 64

r = 48/64  = 3/4

Substitute int the formula to get the nth term;

Tn = 64(3/4)^n-1

Hence the nth term of the sequence is given as Tn = 64(3/4)^n-1

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