Publish On: 2019-03-16

# ally

Total Post: 571

## Question: Explain infinite series

Reply On: 2013-10-08

# Mjay Jollay

Total Post: 0

## ANS: Explain infinite series

Let < u

Now, <u

The terms of the sequence, viz. u

∴ 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 + ….

or simply is an infinite series.

_{n}> be real sequence. Then the expression of the form u_{1}+ u_{2}+ u_{3}+ …. + u_{n}+ …. is called an infinite series and is symbolically expressed as or simply Σ u_{n}. The real numbers u_{1}, u_{2}, u_{3}, …. , u_{n}… , 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.Now, <u

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

_{1}, u_{2}, u_{3}, …. , u_{n}…. , are arranged and formed according to some definite law.∴ 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 + ….

or simply is an infinite series.

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