3 years ago

What is the 100th triangular number?

Mathematics

1 answer:

krek1111 [17]3 years ago

5 0

Answer:

$T_1_0_0=5050$

Step-by-step explanation:

A triangular number is number that can be recomposed in the form of an equilateral triangle. Each triangular number is defined by:

$T_n=\frac{n^2+n}{2} \hspace{5} n\in N$

Hence, evaluating n=100

$T_1_0_0=\frac{(100)^{2}+100 }{2} =5050$

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Now, since we're trying to isolate "p," we need to add 36 to both sides.

9p - 36 + 36 = -18 + 36

Simplify.

9p = 18

Divide both sides by 9.

9p ÷ 9 = 18 ÷ 9

Simplify.

p = 2

~Hope I helped! :)~

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