Home
Class 12
MATHS
Find a(1) and a(9) if a(n) is given by ...

Find `a_(1) and a_(9)` if `a_(n)` is given by ` a_(n) = (n^(2))/(n+1)`

Text Solution

Verified by Experts

Given .` a_(n) = (n^(2))/(n+1)`
Putting n = 7 and 9 , we get
`a_(7) = (49)/(8)`
`a_(9) = (81)/(10)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Try Yourself|85 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find a_(1),a_(2),a_(3) if the n^(th) term is given by a_(n)=(n-1)(n-2)(3+n)

Find a_(3),a_(5),a_(8) if the n^(th) term is given by a_(n)=(-1)^(n)n

The fibonacct sequence is defined by 1=a_(1) = a_(2) and a_(n-1) + a_( n-1) , n gt 1 Find (a_(n+1))/(a_(n)) " for " n =1 ,2,34,5,

The Fibonacci sequence is defined by 1=a_(1)=a_(2) and a_(n)=a_(n-1)+a_(n-2),n>2 Find (a_(n+1))/(a_(n)),f or n=5

The Fibonacci sequence is defined by 1=a_(1)=a_(2) and a_(n)=a_(n-1)+a_(n-2),n>2 Find (a_(n+1))/(a_(n)) for n=1,2,3,4,5

If a_(0), a_(1), a(2),… are the coefficients in the expansion of (1 + x + x^(2))^(n) in ascending powers of x, prove that a_(0) a_(2) - a_(1) a_(3) + a_(2) a_(4) - …+ a_(2n-2) a_(2n)= a_(n+1) .

Some sequences are defined as follows. Find their first four terms : (i) a_(1)=a_(2)=2, a_(n)=a_(n-1)-1, n gt 2 " " (ii) a_(1)=3, a_(n)=3a_(n-1), n gt 1

Evaluate underset( n rarroo)("lim") ((a_(1) + 1)/( a_(1))) ((a_(2) +1)/(a_(2))) "......." ((a_(n) +1)/( a_(n))) where a_(1) 1 and a_(n) = n ( 1+ a_(n-1) ) AA n ge 2