Question

14,25,49,169,256,169,?​

Answer 1

Answer:

Step-by-step explanation:

1+4=5, 5^2=25

Similarly 2+5=7,. 7^2=49

And so on..

1+6+9=13. 13^2=169

Answer 2

The missing term of the series is 49.

• Number series are collections of numbers arranged in a specific order and according to a predetermined pattern.
• In this part, we discuss topics that need a given set of numbers, known as the terms of the series. There is a consistent trend throughout the series for these numbers and phrases. Candidates are required to either locate a missing term or the incorrect phrase in a series.
• The pattern of addition or subtraction of even or odd numbers is followed by series of addition or subtraction of consecutive odd or even integers.
• Series that adhere to the pattern of addition and subtraction of prime numbers are called addition and subtraction of prime number series.

Here, the series is given as, 14,25,49,169,256,169,?​

Now, the first term is 14.

The sum of the digits of 14 is $1+4=5$. Now, 5² = 25.

Similarly, the sum of the digits of 25 is $2+5=7$. Now, 7² = 49.

Similarly, the sum of the digits of 49 is $4+9=13$. Now, 13² = 169.

After the series that consists of the first five terms are taken as a sub-series of this given series,

The series is taken in a reversed manner and thus, the sixth term 169.

Then, the seventh term must be 49.

Hence, the missing term of the series is 49.

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