Using binomial theorem, indicate which number is larger (1.1)10000 or 1000.

Question

Shiksha Nation · Accepted Answer

Using binomial theorem, we get(1.1)10000 = (1 + 0.1)10000= 10000C0 + 10000C1(0.1) + 10000C2(0.1)2 + ... other positive terms= 1 + 10000 × (0.1) + ... other positive terms= 1 + 1000 + ... other positive terms= 1001 + ... other positive termsHence, (1.1)10000 > 1000.

Using binomial theorem, indicate which number is larger (1.1)¹⁰⁰⁰⁰ or 1000.

Verified Answer