Question

Complete the Given Series of NumbersComplete the given series? 1728, 1385, 1169, 1044, 980, ?

Answer 1

The series given to us is 1728, 1385, 1169, 1044, 980, ?


The difference between 1728 and 1385 is 343 (cube of 7)
The difference between 1385 and 1169 is 216 (cube of 6)
The difference between 1169 and 1044 is 125 (cube of 5)
The difference between 1044 and 980 is 64 (cube of 4)

Now for the next number in the series the difference between 64 and that number has to be the cube of 3 which is 27 (the difference).
Subtracting 27 from 64, we get 37.

Hence the missing number in the series is 37

Answer 2

The missing number in the series is 37

Given:

The given series of numbers is $1728, 1385, 1169, 1044, 980$.

To find:

To complete the given series of numbers

Solution:

Taking the first two numbers and calculating the difference we get,

$1728- 1385 = 343$

The difference between 1728 and 1385 is 343 (cube of 7)

Taking the next two numbers and calculating the difference we get,

$1385- 1169 = 216$

The difference between 1385 and 1169 is 216 (cube of 6)

Taking the next two numbers and calculating the difference we get,

$1169- 1044 = 125$

The difference between 1169 and 1044 is 125 (cube of 5)

Taking the next two numbers and calculating the difference we get,

$1044- 980 = 64$

The difference between 1044 and 980 is 64 (cube of 4)

Now for the next number in the series, the difference between 64 and that number has to be the cube of 3 which is 27 (the difference).

Subtracting 27 from 64,

$64-27 = 37$

Hence the missing number in the series is 37.

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