No products in the cart.

10 raise to 2n-1 +1 is …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

10 raise to 2n-1 +1 is divisible by 11

Posted by Aditi Singh 6 years, 10 months ago

CBSE > Class 11 > Mathematics

1 answers

N Kansara 6 years, 10 months ago

10^(2n-1) +1 is divisible by 11. We will prove this statement by induction. For n = 1 this is true, Now we assume that it is true for n = k Therefore 10^(2k-1) + 1 = 11×t (where t is some integer. => 10^(2k-1) = 11×t - 1 ..... equation 1 For n = k + 1 LHS = 10^(2(k+1) - 1) +1 = 100×10^(2k-1) +1 From equation 1 we substitute value of 10^(2k-1), LHS = 100×(11×t - 1) +1 = 11 (100×t + 9) which is clearly a multiple of 11. Hence proved

ANSWER

https://examin8.com

Test

Related Questions

2nC2:nC3=33:10

Posted by K.Y K 1 year, 5 months ago

CBSE > Class 11 > Mathematics

0 answers

Find the equation of a circle with centre (2,2) and passes through the point (4,5)

Posted by Sethpoulou Apoulou 1 year, 5 months ago

CBSE > Class 11 > Mathematics

0 answers

Ch 1 ke questions

Posted by Nitin Kumar 1 year, 4 months ago

CBSE > Class 11 > Mathematics

1 answers

Modern ABC class 11 mathematics solutions chapter 2 relation and functions

Posted by Gurleen Kaur 1 year, 5 months ago

CBSE > Class 11 > Mathematics

0 answers

The sum of two numbers is 6 time its geometric mean show that numbers are in the ratio (√3 +2): (3-2√2)

Posted by Shubham Jaat 1 year, 4 months ago

CBSE > Class 11 > Mathematics

0 answers

Square of 169

Posted by Ashish Chaudhary 1 year, 4 months ago

CBSE > Class 11 > Mathematics

1 answers

Find the product. (4x²) (–5³)

Posted by Manoj Thakur 1 year, 4 months ago

CBSE > Class 11 > Mathematics

0 answers

(3+i)x + (1-2i) y +7i =0

Posted by Ananya Sv 1 year, 5 months ago

CBSE > Class 11 > Mathematics

1 answers

Express the complex number i-39

Posted by Sana Dharwad 1 year, 4 months ago

CBSE > Class 11 > Mathematics

0 answers

Prove that sin square 8x - sin square 3x =sin11x.sin5x

Posted by Sabin Sultana 1 year, 4 months ago

CBSE > Class 11 > Mathematics

0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App