An arithmetic sequence is given below. 8, 12, 16, 20,
write an explicit formula for the nth term an
an = ???
-please help

________

an = 8 + (n - 1) × 4

an = 8 + 4n - 4

an = 4n + 4

= 4n + 4

Step-by-step explanation:

The nth term (explicit formula) of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 12 - 8 = 4 , then

= 8 +4(n - 1) = 8 + 4n - 4 = 4n + 4

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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