Home
Class 12
MATHS
Write down the sequence whose nth term i...

Write down the sequence whose nth term is `2^n//n` and (ii) `[3+(-1)^n]//3^n`

Text Solution

Verified by Experts

(i) Let `t_(n)=2^(n)/n` and put n=1,2,3,4,… we get
`t_(1)=2,t_(2)=2,t_(3)=8//3,t_(4)=4`
So, the sequence is 2,2,8/3,4…
(ii) Let `t_(n)=[3+(-1)^(n)]//3^(n)` and put n=1,2,3,4,…
So, the sequence is `2//3,4//9,2/27,4/81`,….
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.2|1 Videos
  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise ILLUSTRATION 5.3|1 Videos
  • PROGRESSION AND SERIES

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|4 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

Write down the sequence whose n ^(th) term is ( (-2) ^(n))/( (-1) ^(n) +2)

Find the A.P. whose nth term is 2n-3.

Write the first four terms of the sequence whose nth term is given (2n+1)/(2n-1)

Write the first four terms of the sequence whose nth term is given (n^(2)+1)/(n)

Write the first four terms of the sequence whose nth term is given (2^(n))/(n^(2))

Write the first four terms of the sequence whose nth term is given sin^(n) 30^(@)

Write down the first five terms of the sequence, whose nth term is (-1)^(n-1) , 5^(n+1)

Write the first four terms of the sequence whose nth term is given (-1)^(n) sin"" (npi)/(2)

Write the first four terms of the sequence whose nth term is given (-1)^(n-1) cos "" (npi)/(4)

Write the first five terms of the sequence whose n^(t h) terms are : a_n=(-1)^(n-1)5^(n+1)