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.
The other factor is (y - 3). If you multiply the two terms together, you will end up with
:
Answer:
100
Step-by-step explanation:
add all the number together 3 + 4 + 2 +1=10
250/10=25
then times 25 with the 4 number at the top
25 times 4 =100
so there is 100 blue pencils
Answer:
firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1
Answer:
27
depth ×breadth×width=3×3×3
= 27
