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The 1^(st) , 2^(nd) and 3^(rd) terms of ...

The `1^(st)` , `2^(nd)` and `3^(rd)` terms of an arithmetic series are `a`, `b` and `a^(2)` where `'a'` is negative. The `1^(st)`, `2^(nd)` and `3^(rd)` terms of a geometric series are `a`, `a^(2)` and `b` respectively.
The sum of the `40` terms of the arithmetic series is

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