Home
Class 12
MATHS
Let a(n)=(1000^(n))/(n!) for n in N. The...

Let `a_(n)=(1000^(n))/(n!)` for `n in N`. Then `a_(n)` is greatest when:

A

n=997

B

n=998

C

n=999

D

n=996

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise MCQ.s (LEVEL-II)|55 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

Let a_n=10^n/(n!) for nge1 Then a_n takes the greatest value when :

If a_(n)=(n(n-2))/(n+3) : find the term a_(20^(@))

If a_(n) = (n^(2))/(2^(n)) , then find a_(7) .

Show that a_(1), a_(2), ….,a_(n),… form an A.P where an is defined as below : (i) a_(n) = 3 + 4n (ii) a_(n) = 9 - 5n . Also find the sum of the first 15 terms in each case.

Let alpha and beta be the roots of equation x^(2) - 6x -2 = 0 . If a_(n) = a^(n) - beta^(n), for n ge l , then the value of (a_(10) - 2 a_(8))/(2 a_(9)) is equal to :

The nth term of a series is given by t_(n)=(n^(5)+n^(3))/(n^(4)+n^(2)+1) and if sum of its n terms can be expressed as S_(n)=a_(n)^(2)+a+(1)/(b_(n)^(2)+b) where a_(n) and b_(n) are the nth terms of some arithmetic progressions and a, b are some constants, prove that (b_(n))/(a_(n)) is a costant.

Let alpha and beta be the roots of x^(2) -6x - 2 =0 , with alpha gt beta . If a_(n) = alpha^(n) - beta^(n) for n ge 1, then value of (a_(10) - 2a_(8))/(2 a_(9)) is :

If for a sequence {a_(n)},S_(n)=2n^(2)+9n , where S_(n) is the sum of n terms, the value of a_(20) is

If a_(1) , a_(2) , a_(3),"…………."a_(n) are in A.P., where a_(i) gt 0 for all i, then the value of : (1) /( sqrt(a_(1))+sqrt(a_(2)))+ (1) /( sqrt(a_(2))+sqrt(a_(3)))+"......"+(1) /( sqrt(a_(n-1))+sqrt(a_(n))) is :

For any arithmetic progression, a_(n) is equivalent to