Question

Determine the explicit form of the function that describes the sequence below.

Answer 1

So the series we have goes 16, 24, 36, 54
And we are adding 8, 12, 18
The pattern I noticed we that to get the next value you multiply the current value by 1.5
This results in the following equation:
$n = 3c \div 2$
n is the next value and c is the current.
Hope this helps!

Answer 2

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

16,24,36,54.....

Since it is a geometric sequence.

Here, a = first term = 16

r = common ratio is given by

$\frac{a_2}{a_1}=\frac{24}{16}=\frac{3}{2}$

So, n th term ( explicit form ) will be

$a_n=16(\frac{3}{2})^{n-1}$

Hence, Option 'c' is correct.