Find the infinite sum of -4,+20,-100+....
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This is a geometric sequence with first term -4 and common ratio -5.
Such sequences only converge to a limit if the common ratio is between -1 and 1.
There is no infinite sum. In simple terms, each term is bigger than the previous one so the sum is going to oscillate between increasingly big positive and negative numbers.
Such sequences only converge to a limit if the common ratio is between -1 and 1.
There is no infinite sum. In simple terms, each term is bigger than the previous one so the sum is going to oscillate between increasingly big positive and negative numbers.