3 years ago

STUDY TIP 1

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

Answer:

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FOR THE TIP.

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D) is the correct one

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The given statement is which we have to prove by the principal of Mathematical Induction

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1.→For, n=1

L H S =2

R H S=1

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So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

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---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

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Which of the following would NOT be

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Step-by-step explanation:

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