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.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
Answer:
b - 7 = the amount of money Cam has
Step-by-step explanation:
We don't know how much money ben has so we have to subtract 7 from <em>b</em> to find the amount of money Cam has.
Hope this helps!
General formula to find volume of prism
v = base area × height
Input the numbers to the formula
v = base area × height
v = 20 × 5
v = 100
The volume is 100 cm³
