Home
Class 11
MATHS
Find the sum of the following series to ...

Find the sum of the following series to infinity: `10-9+8. 1-7. 29+oo`

Text Solution

Verified by Experts

The correct Answer is:
`100/19`

`a=10 and r=(-9)/10=-0.9`.
`:. S=a/((1-r))=10/((1+0.9))=10/1.9=100/19`.
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12H (Very Short Answer Type Questions)|13 Videos
  • GEOMETRICAL PROGRESSION

    RS AGGARWAL|Exercise EXERCISE 12F|9 Videos
  • FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 3F VERY-SHORT-ANSWER QUESTIONS|21 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise EXERCISE 19|6 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the following series to infinity: 8+4sqrt(2)+4+oo

Find the sum of the following series to infinity: 1-(1)/(3)+(1)/(3^(2))-(1)/(3^(3))+(1)/(3^(4))+oo

Find the sum of the following series to infinity: (1)/(3)+(1)/(5^(2))+(1)/(3^(3))+(1)/(5^(4))+(1)/(3^(5))+(1)/(5^(6))+oo

Find the sum of the following series to n term: 1. 2. 4+2. 3. 7+3. 4. 10+ .......

Find the sum of the following series to infinity: 2/5+3/5^(2)+2/5^(3)+3/5^(4)+oo

Find the sum of following series upto infinity (1)/(3)+(1)/(6)+(1)/(12)+(1)/(24)+............

Find the sum of the following series: 1+5+3+9+5+13+7+...20 terms

Find the sum of 7 terms of following series 1,3,9,27,81…… .

Find the sum of the following series: 1+4+7+10+...rarr40 terms