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Series

Let

Now,

The terms of the sequence, viz.

e.g.

**< u**be real sequence. Then the expression of the form_{n}>**u**is called an infinite series and is symbolically expressed as or simply_{1}+ u_{2}+ u_{3}+ …. + u_{n}+ ….**Σu**_{n}. The real numbers**u**are known as the first, second, third …. nth term ….. respectively of the infinite series. The nth term of the infinite series is also called as the greater term._{1}, u_{2}, u_{3}, …. , u_{n}… ,Now,

**<u**is a real sequence._{n}>The terms of the sequence, viz.

**u**are arranged and formed according to some definite law._{1}, u_{2}, u_{3}, …. , u_{n}…. ,**∴**In the light of this, an infinite series can be defined as the succession of terms which are formed according to some definite law,e.g.

**1 + ½ + 1/3 + ¼ + …. + 1/n + ….****Services: -**Series Homework | Series Homework Help | Series Homework Help Services | Live Series Homework Help | Series Homework Tutors | Online Series Homework Help | Series Tutors | Online Series Tutors | Series Homework Services | SeriesSubmit Your Query ???

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