Shift rule

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The Shift rule is a mathematical rule for sequences and series.

For sequences it states, if (an) is a sequences and converges to a number if and only if (an + N) also converges to the same number too.

For series it states, the series {\Sigma^{\infty}_{n=1}}(a_{n}) converges to a number if and only if {\Sigma^{\infty}_{n=1}}(a_{n+N}) converges.