Maria is a professional singer, and she published a music album. She finds that the number of downloads of her album each month is three times the number of downloads the previous month. Maria’s album was downloaded 20 times the first month, 60 times the second month, 180 times the third month, and so on. If this pattern continues, how many times will Maria’s album have been downloaded in total after 7 months?

- 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

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: