MATH SOLVE

4 months ago

Q:
# Determine the explicit form of the function that describes the sequence below.16, 24, 36, 54, ...

Accepted Solution

A:

Answer: Option 'c' is correct.Step-by-step explanation:Since we have given that16,24,36,54.....Since it is a geometric sequence.Here, a = first term = 16r = common ratio is given by[tex]\frac{a_2}{a_1}=\frac{24}{16}=\frac{3}{2}[/tex]So, n th term ( explicit form ) will be[tex]a_n=16(\frac{3}{2})^{n-1}[/tex]Hence, Option 'c' is correct.