Test Index

NCERT Class XI Mathematics - Binomial Theorem - Solutions

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Question : 10
Total: 36
Using Binomial Theorem, indicate which number is larger (1.1)10000 or 1000.
Solution:  
Splitting 1.1 and using binomial theorem to write the first few terms we have (1.1)10000 = (1+0.1)10000
=
10000
‌
C0+
10000
‌
C1(0.1) +
10000
‌
C2(0.1)2 + ... +
10000
‌
C10000(0.1)10000
= 1 + 10000 ×
1
10
 + some positive terms
= 1 + 1000 + some positive terms > 1000.
Hence, (1.1)10000 is larger than 1000.
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