Question

Find the total number of coins needed to form a triangle with a base that has 100 coins.

Answer 1

Answer:

The answer will he 300

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Answer 2

Given:   a triangle with a base that has 100 coins.

To Find : total number of coins needed to form triangle

Solution:

To Find number of coins needed to form triangle we need to find

triangular number

$T_{n}=\sum_{k=1}^{n}k$

n = number in base

so here n = 100

$T_{100}=\sum_{k=1}^{100}k$

= 100 * 101/2

= 50 * 101

= 5050

Hence 5050 coins are needed to form a triangle  with a base that has 100 coins

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If (30k)2 = 3600, then which of the following cannotbe triangular ...

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T1+T2+....+Tn=n(n+1)(n+2)/6 where tn is the nth triangular number

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