Sigma Notation and the nth Term

F

Step-by-step explanation:

1+2+...+n = n*(n+1)/2 for all natural numbers n.

Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105

Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85

105≠85

The equation is false

i can you with this sweetie!

step-by-step explanation:

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

~