Just sequence
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Problem has been solved: 152 times
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For the sequence $ a_n $, it is known that $ a_1 = 1 $ and $ a_ {m + n} = a_m + a_n + mn $, for any positive integers $ m $ and $ n $. Find the value of $ a_ {100} $.
Для последовательности $a_n$ известно, что $a_1=1$ и $a_{m+n}=a_m+a_n+mn$, для любых натуральных $m$ и $n$. Найдите значение $a_{100}$.
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