The recursive formula for a geometric sequence is: (a, = 5
[an = ans (3)
What is the 3rd term of this sequence?
A. 125
B. 11
C. 45
D. 15

9514 1404 393

 C.  45

Step-by-step explanation:

Apparently, your recursive definition is ...

Each term is 3 times the previous one, so the sequence starts ...

  5, 15, 45, 135, 405, ...

The 3rd term is 45.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

the opening of this porabola is facing up

step-by-step explanation: