Home
Class 12
MATHS
For integer n gt 1, the digit at unit's...

For integer ` n gt 1`, the digit at unit's place in the number
` sum_(r=0)^(100) r! + 2^(2^(n))` I

Text Solution

Verified by Experts

The correct Answer is:
0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Binomial Theorem Exerciese 5: Matching Type Questions|5 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|21 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|23 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

Similar Questions

Explore conceptually related problems

Find the sum sum_(r=0)^n^(n+r)C_r .

Evaluate sum_(r=1)^(n)rxxr!

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

Evaluate sum_(r=1)^(n-1) cos^(2) ((rpi)/(n)) .

The sum sum_(r=0)^n (r+1) (C_r)^2 is equal to :

Sum of last three digits of the number N=7^(100)-3^(100) is.

If n is an odd natural number, then sum_(r=0)^n (-1)^r/(nC_r) is equal to

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(2n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is even, the value of sum_(r=0)^(n/2-1) a_(2r) is

Prove that: sum_(r=0)^(n) 3^( r) ""^(n)C_(r) = 4^(n) .

Home
Profile