Home
Class 12
MATHS
Find the sum 2017+1/4(2016+1/4(2015+…+...

Find the sum
`2017+1/4(2016+1/4(2015+…+1/4(2+1/4(1))..))`

Text Solution

AI Generated Solution

To find the sum of the series \[ S = 2017 + \frac{1}{4}(2016 + \frac{1}{4}(2015 + \ldots + \frac{1}{4}(2 + \frac{1}{4}(1))\ldots)) \] we can follow these steps: ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.78|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.79|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.76|1 Videos

  • PROBABILITY II

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos

Similar Questions

Explore conceptually related problems

Find the sum up to 20 terms. 1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+

Find the sum of G.P. : 1-(1)/(2)+(1)/(4)-(1)/(8)+ . . . .. . . .. . to 9 terms .

Find the sum S = sum _( k =1) ^( 2016) (-1) ^(( (k +1))/(2))k

2.Find the difference (a) 1/2-1/4

Find the following sum: 1/(n !)+1/(2!(n-2)!)+1/(4!(n-4)!)+. . . .

Find the following sum: 1/(n !)+1/(2!(n-2)!)+1/(4!(n-4)!)+. . . .

Find the sum of each of the series : 4+2 +1 + (1)/(2) +(1)/(4) + ... to 10 terms

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

The sum of the series 1 + (1)/(1!) ((1)/(4)) + (1.3)/(2!) ((1)/(4))^(2) + (1.3.5)/(3!) ((1)/(4))^(3)+ ... to infty , is

Find the sum to n terms of 3 (3)/(8) + 2 (1)/(4) + 1 (1)/(2)+ .....

Home
Profile