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USPshnik [31]
3 years ago
15

STUDY TIP 1

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer:

THANK U!

FOR THE TIP.

HAVE A GREAT DAY!

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Use induction to prove that 2? ?? for any integer n&gt;0 . Indicate type of induction used.
Hoochie [10]

Answer with explanation:

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

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

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

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

      2^{k}>k

                   ---------------------------------------(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

      2^{k}>k

                 

   

3 0
3 years ago
Which of the following would NOT be
Sladkaya [172]
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Two squares are similar. The ratio of the length of square A to the length of square B is 3:5. If the length of square A is 18 m
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Answer:

120 meters

Step-by-step explanation:

18 ÷ 3 = 6

5 x 6 = 30

30 x 4 = 120

7 0
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