Question

Find out the missing term in the series 126,217,344 ,?,730

Answer 1

Answer:

THE ANSWER IS 513.

Step-by-step explanation:

$126 = 126 - 1 = 125 = {5}^{3} \\ 217 = 217 - 1 = 216 = {6}^{3} \\ 344 = 344 - 1 = 343 = {7}^{3} \\ 513 = 513 - 1 = 512 = {8}^{3} \\ 730 = 730 - 1 = 729 = {9}^{3}$

Answer 2

126 , 217, 344 , 513 , 730

Solution:

Given series is:

126 , 217, 344 , ? , 730

We have to find the missing term

Let us analyse the logic used in given series

$First\ term = 5^3 + 1 = 125 + 1 = 126\\\\Second\ term = 6^3 + 1 = 216 + 1 = 217\\\\Third\ term = 7^3 + 1 = 343 +1 = 344$

Thus the logic used is cubes of numbers starting from 5 and add 1 to it

Therefore, next term is:

$Fourth\ term = 8^3 + 1 = 512 + 1 = 513\\\\Fifth\ term = 9^3 + 1 = 729+ 1 = 730$

Complete series is:

126 , 217, 344 , 513 , 730

Thus the missing term is 513

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