Find the first five terms of the recursive sequence.

The first five terms of the recursive sequence are;

5, 12, 19, 26, 33

Step-by-step explanation:

The given sequence is presented as follows;

aₓ = a₍ₓ ₋ ₁₎ + 7

The first term of the sequence, a₁ = 5

Therefore, we have;

a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12

a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19

a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26

a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33

The first five terms of the recursive sequence are therefore;

5, 12, 19, 26, 33.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.