Math, asked by Mojaffar1997, 6 months ago

What is the next number in the series, 16, 14, 18, 82, 118, 630, ?

Answers

Answered by monikagodara009
0

Answer: 2 ka square 4 ka cube 6 ka square 8 ka cube to 10 ka square hoga next sequence me

730 answer

Step-by-step explanation:

Attachments:
Answered by feminasikkanther
1

Answer:

The next number is 730

And the complete series is:

the complete series is:16, 14, 18, 82, 118, 630, 730, 2458, 2654 ...

Step-by-step explanation:

Provided that:

Given series is 16, 14, 18, 82, 118, 630, ?

Intervals between numbers in order:

16 - 14 : 2

14 - 18 : 4 - 2^2

18 - 82 : 64 - 4^3

82 - 118 : 36 - 6^2

118 - 630 : 512 - 8^3

630 - ?(y) : ?(let x) - 10^2

From observation we can find out that the next interval :

The next interval (x) is:

 {(x) } =  {10}^{2}  = 100

So the next number (y) is :

y = 630 + 100 = 730

So the series and intervals will be:

16 - 14 : 2

14 - 18 : 4 - 2^2

18 - 82 : 64 - 4^3

82 - 118 : 36 - 6^2

118 - 630 : 512 - 8^3

630- 730 : 100 - 10^2

730 - 2458 : 1728 -12^3

16 - 14      : 2   \\ </p><p>14 - 18      : 4     - 2^2 \\ </p><p>18 - 82     : 64   - 4^3 \\ </p><p>82 - 118    : 36   - 6^2 \\ </p><p>118 - 630  : 512  - 8^3 \\ </p><p>630- 730 : 100  - 10^2 \\ </p><p>730 - 2458 : 1728 -12^3 \\  2458 - 2654 : 196 -14^2 \\ ...

So the complete series is:

16, 14, 18, 82, 118, 630, 730, 2458, 2654 ...

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