if-t-m-t-n-and-t-m-t-n-is-triangular-number-find-the-value-of-m-n-

Question Number 81007 by M±th+et£s last updated on 08/Feb/20

i f t_{m} + t_{n} a n d t_{m} - t_{n} i s t r i a n g u l a r

n u m b e r f i n d t h e v a l u e o f m + n

Commented by MJS last updated on 08/Feb/20

this {doesn}^{'} t make much sense

if t_{j} is the j^{th} triangular number

t_{j} = \frac{j (j + 1)}{2}

\frac{m (m + 1)}{2} + \frac{n (n + 1)}{2} = \frac{m (m + 1)}{2} - \frac{n (n + 1)}{2}

\Rightarrow n = 0, m \in N \Rightarrow m + n = m

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