Peter purchases a baseball card for $150 as an investment. His research tells him that the value of the card should double every 3 years. When will the card reach a value of $ 4000?

6 years

Step-by-step explanation:

Given

Required

When will it get to 4000

This question illustrates a geometric progression and will be solved using:

In this case;

So, we're to solve for n

Divide through by 150

Take Log of both sides

Apply law of logarithm

Take Log values

Make n - 1 the subject

Add 2 to both sides

(Approximated)

Hence, it'll take 6 years

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents