Home
Class 12
MATHS
Find the sum of the infinite series 1-...

Find the sum of the infinite series
`1-(4)/(5)+(4.7)/(5.10)-(4.7.10)/(5.10.15)+………`

Text Solution

Verified by Experts

The correct Answer is:
`=(5^(4//3))/(16)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(c)) I.|15 Videos

  • BINOMIAL THEOREM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TETUAL EXERCISES (EXERCISE - 6(b)) II.|6 Videos

  • ANDHRA PRADESH MARCH 2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise QUESTION|21 Videos

  • CIRCLE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 1(e)|25 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+….

Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8.12)+....

1-(1)/(5)+(1.4)/(5.10) - (1.5.7)/(5.10.15)+…..=

Find the sum of the infinite series (3)/(4.8)-(3.5)/(4.8.12)+(3.5.7)/(4.8.12.16)-......

(1.4)/(5.10)-(1.4.7)/(5.10.15)+(1.4.7.10)/(5.10.15.20)+….=

Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1.2).(1)/(10^(4))+(1.3.5)/(1.2.3).(1)/(10^(6))+....)

Prove that : Find the sum of the series (3.5)/(5.10)+(3.5.7)/(5.10.15)+(3.5.7.9)/(5.10.15.20)+....oo

If t=(4)/(5)+(4.6)/(5.10)+(4.6.8)/(5.10.15)+………oo then prove that 9t=16.

The sum of the series (1)/(1.3.5)+(1)/(3.5.7)+(1)/(5.7.9)+... is