The answer is <span>a. T(n+1)=1/2n^2+3/2n+1
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T(n) = 1/2n² + 1/2n = 1/2(n² + n)
T(n + 1) = 1/2((n+1)² + (n+1))
(a + b)² = a² + 2ab + b²
(n + 1)² = n² + 2n + 1
T(n + 1) = 1/2(n² + 2n + 1 + n + 1) =
= 1/2(n² + 3n + 2) =
= 1/2n² + 3/2n + 1
One third of the box will be 3 inches long, so is equivalent to a 3-inch cube. It has a volume of
... (3 in)³ = 27 in³
The appropriate choice is ...
... D. 27 cu. in.
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Volume is found by multiplying length by width by height. When all are the same (3 in), the product is (3 in)·(3 in)·(3 in) = (3 in)³.
Answer:
110
Step-by-step explanation:
So tens is the 1 in the middle
And since 2 is 5 and less
You just keep it
And replace 2 with a 0