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:
Yes he has enough fence to go round the flower bed.
Step-by-step explanation:
1 yard = 3 feet
25 feet = 25/3 = 8.33 yards
Yes he has enough fence to go round the flower bed.
The measure of AC is 10 I’m pretty sure
Answer:
Since the denominator does not have an imaginary part, we use the standard ... 2 1 8 __ 2i Reduce the fraction and put itinto the standard form ofa complex number. 5 5 1 4i Simplify. b. 4 1 7i ______ 5 1 3i 4 1 7i ______ 5 1 3i 5 2 3i ______ 5 2 3i Multiplythe ... PRACTICE PROBLEM FOR EXAMPLE 7 Divide the following.
Step-by-step explanation:
