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in Binomial Theorem by (47.9k points)

Using Binomial theorem find which number is greater (1.1)100000 or 1000.

1 Answer

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Best answer

(1.1)100000

= (1+0.1)1000000

10000C0 (1)10000 (0.1)0
0000c1 (1)9999 (0.1)1 +……….

= 1 × 1 × 1 + 10000 × 1 × 0.1 +………

= 1 +1000 +… other positive numbers

= 1001+… other positive numbers

Hence(1.1)10000= 1001+… other positive numbers

But 1001>1000

Then (1.1)10000>1000.

(1.1)10000 is greater

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