Ageometric sequence is defined recursively by an = 4an-1. the 1st term of the sequence is 0.5. which of the following is the explicit formula for the nth term of the sequence?

Step-by-step explanation:

The explicit formula for the nth term of the geometric sequence is given by:

             ....[1]

As per the statement:

A geometric sequence is defined recursively by:

           ....[2]

The 1st term of the sequence is 0.5

⇒

We know that:

the recursive formula for geometric sequence is given by:

where, r is the common ratio

Compare with [2] we have;

r = 4

Substitute the values of r = 4 and in [1] we have;

Therefore, the explicit formula for the nth term of the sequence is,

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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