Question

the next term in following pattern is. 521,612,343,215,??​

Answer 1

Answer:

127 next terms in following

Answer 2

Given:

A sequence: 521,612,343,215,?

To find:

The next term of the series

Solution:

We can find the term by following the process given below-

We know that the numbers in the sequence follow a pattern/ logic.

On observing the terms, we can see that the given terms are written in reverse order and form cubes of natural numbers.

521, 612, 343, 215, when written in reverse order, becomes 125, 216, 343, 512.

125=5×5×5=5³

216=6×6×6=6³

343=7×7×7=7³

512=8×8×8=8³

Following this pattern, the next term in the sequence should be the cube of 9 written in reverse order.

9³=9×9×9=729

The term becomes reverse of 729, i.e., 927

Therefore, the next term in the pattern is 927.