Arecursive rule for a geometric sequence is a1=49; an=3an−1 . what is the explicit rule for this sequence? enter your answer in the box. an=

Answer :

Explicit rule is

Step-by-step explanation:

A recursive rule for a geometric sequence is a1=49;an=3an−1

First term a1= 49

To get second term, multiply the first term by 3

So common ratio = 3

Explicit rule for geometric sequence is

Where a1 is the first term

r is the common ratio

a1= 49  and r= 3

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)