Question

[the number which should be added to the numbers
2,14,62 so that the resulting number may be in G.P.]
a. 1
6.2 2
c. 3
d. 4​

Answer 1

Answer:

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Answer 2

Answer:

2 should be Added

Step-by-step explanation:

3 numbers are given, 3 numbers being in Geometric Progression (GP) mean that they are consecutive numbers that are perfect squares of numbers having a constant same type of increase. For Example, 25, 36, and 49 are in GP, as their Root values i.e 5, 6, and 7, are in the same order of positioning, as here, there is an equal trend of 1 difference.

If you add 2 to the 3 numbers given, it becomes 4, 16 and 64

2+2=4,    14+2=16,    62+2=64.

Now taking Square root of them, the result will be 2, 4, and 8.

The trend here is that each successive number is double the previous one, so if you were to find the 4th Number in this Trend, it would be 16, having a square of 256.

GP = $\sqrt {2^{2}+4^{2} +8^{2} }$

     = $\sqrt{4 + 16 + 64}$

You can find the answer like this.

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