Write the explicit formula for the geometric sequence represented by the recursive formula.
a1 = 4
an = 5 · an-1
a) an = 4 · 5n
b) an = 5 · 4n
c) an = 4 · 5n-1
d) an = 5 · 4n-1

Option C is correct.

Explanation:

Explicit formula for the geometric sequence is given by:

where r is the common ratio

Given the recursive formula for geometric sequence:

For n =2

⇒

For n =3

⇒

Common ratio(r):

⇒ r = 5

Therefore, the explicit formula for the geometric sequence represented by the recursive formula is:

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !