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see explanation

Step-by-step explanation:

(a)

Using the recursive rule and a₁ = 4 , then

a₂ = 2( + a₁ ) = 2( + 4) = 2 × 4 = 2 × =

a₃ = 2( + a₂) = 2( + ) = 2 × = 2 × 9 = 18

a₄ = 2( + a₃) = 2( + 18) = 2 × 18 = 2 × =

a₅ = 2( + a₄) = 2( + ) = 2 × = 2 × 37 = 74

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(b)

Using the recursive rule and a₁ = 6 , then

a₂ = = =

a₃ = = = 9

a₄ = =

a₅ = = = 5 × =

------------------------------------------------------------------------

(c)

The sequence has a common ratio

r = = = 4

Multiply the previous terms by 4 , then

a₄ = 4 × =

a₅ = 4 × =

x^6

step-by-step explanation:

this is correct because:

x-6=0

0*x=0

so

x^6

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it