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Readme [11.4K]
3 years ago
11

No, that does not make sense. When you subtract, you add the opposite. That means you’re adding two positive numbers. When you a

dd two positive numbers, the result is positive.
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0
Another way of saying this is two negatives make a positive right?..
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There are a total of 4 + r + 6 marbles in the bag

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The probability of a red is  \frac{r}{10+r}  

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The sum of the triangular numbers is \frac{n(n+1)(n+2)}{6}

According to the question, the series of triangular numbers is given as in the form of the number of dots constituting the equilateral triangles i.e.
1, 3, 6, 10, 15 . . . . .n

<h3>what is triangular numbers?</h3>

triangular number are the sequence and series of the numbers and each number represents and constitute in visualization of  series of  equilateral triangle.

given series in the figure
1, 3, 6, 10, 15, . . . . . .  ., n
each number represents the number of dots containing in triangle
now the series can be given by
S = \frac{n(n+1)}{2}  for n = 1, 2, 3, 4,. . . . .n
now , according to the question the sum of the series can be given as
⇒  ∑S
⇒   ∑\frac{n^2+n}{2}
⇒  \frac{1}{2}[\sum n^2+\sum n]\\\frac{1}{2}[\frac{n(n+1)(2n+1)}{6}+\frac{n(n+1)}{2}] \\\frac{n(n+1)}{4}[\frac{(2n+1)}{3}+1] \\\frac{n(n+1)}{4}[\frac{(2n+1+3)}{3}] \\\frac{n(n+1)}{4}[\frac{(2n+4)}{3}] \\\frac{n(n+1)}{4}2[\frac{(n+2)}{3}]\\\frac{n(n+1)(n+2)}{6}

Thus, the sum of the triangular number is given by \frac{n(n+1)(n+2)}{6}

Learn more about triangular numbers here:
brainly.com/question/1417765

#SPJ1

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