Home
Class 10
MATHS
Check whether 6^(n) can end with the dig...

Check whether `6^(n)` can end with the digit 0 for any natural number n.

Text Solution

Verified by Experts

The correct Answer is:
`2^(n)xx3^(n)`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (8.3)|5 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (8.4)|3 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISES (8.1)|5 Videos

  • QUADRATIC EQUATIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS (IIT FOUNDATION)|5 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VALUE BASED QUESTIONS )|2 Videos

Similar Questions

Explore conceptually related problems

check Whether 6^(th) can end with the digit 0 for any natural number n .

Show that 3^(n) xx 4^(m) cannot end with the digit 0 or 5 for any natural numbers ‘n’and 'm'

Find the mean of first n natural numbers .

Find the sum of first n odd natural numbers.

Find the sum of first n even natural numbers.

The variance of the first n natural numbers is :

Use the principle of mathematical induction to show that (a^(n) - b^n) is divisble by a-b for all natural numbers n.

The sum of n natural numbers is 325. find n.

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum of the first n even natural numbers and sum of the first n odd natural numbers is n.

First term of a sequence is 1 and the (n+1)th term is obtained by adding (n+1) to the nth term for all natural numbers n, the 6th term of the sequence is