Here the rule which is applicable on the series: nbsp;8 nbsp;16 nbsp;32 nbsp;64 is rule C: nbsp;Square the number and divide by half of the number ...

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Standard XII

Mathematics

Sigma n3

8 16 32 64

Question

$8163264$

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Solution

Here the rule which is applicable on the series: 8 16 32 64 is rule C: Square the number and divide by half of the number as:
Start with number 4. We have,
$\frac{4^{2}}{2} = 8, \frac{8^{2}}{4} = 16, \frac{16^{2}}{8} = 32 a n d \frac{32^{2}}{16} = 64$
Hence, rule (C) is the correct answer.

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Similar questions

Q. Identify the rules which is followed by given series
A. Divide the number by

2

and square the quotient.
B. Multiply the number by

3

and divide the product by

2

.
C. Add

16

to the number and divide the sum by

2

.
D. Divide the numbers by

2

and add the square of the quotient to the number.
E. Square the number and divide by half of the number.

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8163264

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8163264

Here the rule which is applicable on the series: 8 16 32 64 is rule C: Square the number and divide by half of the number as:Start with number 4. We have,422=8,824=16,1628=32and32216=64Hence, rule (C) is the correct answer.

$8163264$

Here the rule which is applicable on the series: 8 16 32 64 is rule C: Square the number and divide by half of the number as:
Start with number 4. We have,
$\frac{4^{2}}{2} = 8, \frac{8^{2}}{4} = 16, \frac{16^{2}}{8} = 32 a n d \frac{32^{2}}{16} = 64$
Hence, rule (C) is the correct answer.