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.
M=30/22,5=1,33
m=25/x=1,33. ...>x=25/1,33=18,7
Answer:
1 1/3
Step-by-step explanation:
x = 4/3 or 1 1/3
The answer is 48.
<span>Out of 50 people, 4 had a mispriced item: 50 people - 4 mispriced
Out of 600 people, x will have a mispriced item: 600 people - x
Make a proportion:
50 : 4 = 600 : x
50 * x = 4 * 600
50x = 2400
x = 2400 / 50
x = 48</span>
Answer:
the other number is 6350
Step-by-step explanation:
given data
difference between two numbers = 2790
smaller number = 3560
to find out
the other number
solution
we consider here larger number = x
smaller number = y
so
so difference between two number is express as
difference between two number = x - y ....................1
put here value and we get another number i.e large number
2790 = x - 3560
solve it we get
x = 6350
so the other number is 6350