Question

Find the missing term in the following series
7, 5, 26, 17, 63, 37, 124, 65,
(A) 101, 215
(B) 101, 101
(C) 215, 101
(D) 215, 215​

Answer 1

Answer:

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Its a question from phase test 3

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Step-by-step explanation:

Answer 2

Concept

In a missing number series, we are given a series with one missing number and instructed to locate it. In order to locate the missing number, we must first determine the method or formula that is used to generate the missing number series.

Given

The series is $7,5,26,17,63,37,124,65,?,?$.

Find

We have to find the terms which are missing in the series.

Solution

Consider the given series-

$7,5,26,17,63,37,124,65,?,?$

Consider the first and the third term of this series, we observe-

$7=2^{3} -1\\26=3^{3} -1$

Similarly, considering the fifth and seventh terms , we observe-

$63=4^{3} -1\\124=5^{3} -1$

Therefore, by using this logic, we calculate the missing ninth term-

$6^{3} -1=215$

Now, considering the second, fourth, sixth and eighth term of the given series, we observe-

$5=2^{2} +1\\17=4^{2} +1\\37=6^{2} +1\\65=8^{2} +1$

Therefore, by using this logic, we calculate the missing tenth term-

$10x^{2} +1=101$

Hence, $215,101$ are the two missing terms of the series. So, option (C) is correct.

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