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.
On order to change B to C, you have to bring B 3 units to the right and then 4 units down.
Answer:
6
Step-by-step explanation:
The period of a sinusoidal function in the form a * cos (b (x + h)) + m is
. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into
is 2
/1/3 which is 6
.
5 x 10 is 50 then 50 + 11 is 61 so I think it would be 61 ;)
Answer: I think the answer might be the first option
Step-by-step explanation: