An initial investment of $3 is worth $108 after 5 years. if the annual growth reflects a geometric sequence, approximately how much will the investment be worth after 11 years?

The investment be worth $23328 after 11 years.

Step-by-step explanation:

It is given that the annual growth reflects a geometric sequence.

An initial investment of $3 is worth $108 after 5 years.

It means the initial value of first term of the gp, a₁ = 3

The 5th term of the gp, a₅ = 108

The nth term of a gp is

             .... (1)

where, a is first term and r is common ratio.

The 5th term of the gp is

From the given information it is clear that the 5th term of the gp is 108. Substitute a₅ = 108 and a=3.

Divide both sides by 3.

Taking fourth root on both the sides.

Substitute r=√6, a=3 and n=11 to find the investment worth after 11 years.

Therefore the investment worth $23328 after 11 years.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.