(1.1)10000 is _____ 1000: - Vidyadip

MCQ

(1.1)¹⁰⁰⁰⁰ is _____ 1000:

A
greater than
B
less than
C
equal
D
None of these

✓

Answer

greater than

Solution:

Given, $ (1.1)^{10000 }= (1 + 0.1)^{10000}$

$ 10000\text{C}_0 + 10000\text{C}_1 × (0.1) + 10000\text{C}_2 × (0.1)² + \text{other} + \text{ve terms}$

= 1 + 10000 × (0.1) + other + ve terms

= 1 + 1000 + other + ve terms

> 1000

So, (1.1)¹⁰⁰⁰⁰ is greater than 1000

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