A linear sequence starts 11
20
29
38
Work out an expression for the nth term of the sequence.
The nth term is n+9

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

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

~

360/29

step-by-step explanation: