How can I construct an increasing sequence that converges to 7? An absolutely conv series converging to 7 ?

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2007-04-16 07:43:56 · 2 answers · asked by Fred 1 in Science & Mathematics ➔ Mathematics

Take any old sequence (series) that you know that converges to some nonzero number x.

Multiply every term by 7/x.

Done.

2007-04-16 07:57:49 · answer #1 · answered by Anonymous · 1⤊ 0⤋

An easy sequence is Sn = (7 - 1/n).

An easy series is Sigma(7/(2^n)) = 7/2 +7/4 +7/8 + ...

2007-04-16 14:50:00 · answer #2 · answered by chancebeaube 3 · 0⤊ 0⤋