Question

Complete the number series, given below: 24, 49, 77..........

Answer 1

Fourth term of the sequence is 108.

Step-by-step explanation:

Given :-

24, 49, 77 .......... are in the series

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To Find :-

We have to complete the sequence given below.

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Solution :-

As, the first term of the sequence is 24.

And, second term of the sequence is 49.

So, we will subtract the second term from the first term so that we can find the difference between them.

So,

$49 - 24 = 25$

Hence, difference between both the terms are of 25.

Now,

We will subtract 77 from 49 so that we can find the difference between them.

A.T.Q

$77 - 49 = 28$

Hence, Difference between them is 28.

Now, subtract the difference between the third and second term from the difference of the second and the first term.

$28 - 25 = 3$

Now, add 3 to 28.

$3 + 28 = 31$

Add 31 to the third term we will get the fourth term of the sequence.

$77 + 31 = 108$

Hence, Fourth term of the sequence is 108.