1 pint = 2 cups or 1 cup = 1/2 pint
x pints = 12 cups
(12 cups) / 2 = 6 pints
12 cups is equivalent to 6 pints
Answer:
Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.
To prove
As given the explicit formula for the arithmetic sequence .
Put n = 8
Therefore the eighth term in the arithmetic sequence is 23 .
Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
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Answer:
<h2>m < 1</h2>
Step-by-step explanation:
