#1771 · Algebra · Sequences & series

Scale of summed recurring series

If a series be formed having for its $n^{th}$ term the sum of $n$ terms of a given recurring series, shew that it will also form a recurring series whose scale of relation will consist of one more term than that of the given series.

~20 minProof · checked by AIrecurring seriespartial sumsscale of relation

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXIV. Recurring Series, Examples XXIV, No. 15

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.