Write a recursive rule for the sequence.
X, X, 2x, 3x, 5x, 8x, ...

The recursive rule for the sequence is

= x

= x

= +

Step-by-step explanation:

∵ The first term is x

∴ = x

∵ The second term is x

∴ = x

∵ The third term is 2x

- That means the third term is the sum of the 1st and 2nd terms

∴ = +

∵ The fourth term is 3x

∴ = +

∵ The fifth term is 5x

∴ = +

∵ The sixth term is 8x

∴ = +

From all above the sequence is Fibonacci sequence where its recursive rule is

= first term

= second term

= +

The recursive rule for the sequence is

= x

= x

= +

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

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