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:
25
Step-by-step explanation:
The number that we are trying to discover was divided by 5, which gave you the number of 5. To find the original number multiply 5 by 5. I hope this helps.
Answer:
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
Step-by-step explanation:
Amount of sausage links made on Friday morning = 8 ft
Amount of sausage links used on Friday night = 4 ft
Amount of sausage links remaining = 8 - 4 = 4ft (i)
Amount of sausage links made on Saturday morning = 8 ft (ii)
So,
Total amount of sausage links = 8 + 4 = 12 ft (from (i) and (ii) )
Amount of sausage links used on Saturday night = 12 ft
Amount of sausage links remaining = 12 - 12 = 0 ft
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
