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.
Answer:
Step-by-step explanation:
10² ÷ 
100 ÷
100 ÷ 130321
Answer:
6 + x - y
Step-by-step explanation:
6 + x - y is a trinomial of degree 1.
Answer:
5 8/12 gives 68/12
Step-by-step explanation:
EXPLANATION:
5 8/12
first you multiply
12×5=60
Now
you add 60 with8
60+8=68
so the answer is :
68/12
Joe should get $14.45 back.
This is because you must subtract the total cost from the total amount given. If we add the 3 $20 bills together, we get $60. Then is we add the 3 pennies together we get .03. If we add those two both together we get a total of $60.03.
Now we must subtract the cost given from the overall dollar given:
60.03 - 45.58 = 14.45
