Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer:
27000 inches^3
Step-by-step explanation:
The volume of a cube is sidelength^3.
The side length is 30 inches, so the volume is 30^3 = 27000 inches^3.
Answer:
x+2y=- 7
x-2y =9
Step-by-step explanation:
Solving Steps
2x+4y=-14
x-2y=9
Divide both sides
(2x+4y) ÷2=-14=2
{x-2y=9
Remove the parentheses
Divide
2x÷2+4y÷2=-7
x-2y =9
Divide
Solution
x+2y=- 7
x-2y =9
