The selling price of a certain collector’s item was $10 in 2000 and $15 in 2001. If the selling price of the item follows a geometric sequence, what would the price of the item be in 2002?

The price of the item in 2002 would be $22.5

Step-by-step explanation:

Recall that the nth term of a geometric sequence of first term (in our case $10), is given by the formula:

where "r" is the common ratio obtained by the quotient of a term of the sequence divided by the previous term. In this case such common ratio is given by the quotient of $15 divided the previous value $10,

That is:

Then the price of the item in the year 2002 (which is the third term of the sequence; n = 3) is given by:

That is, the price of the item would be $22.5

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation: