CBSE BOARD X, asked by vikramsingh8030, 11 months ago

13,39,118,356,1071,3217,-

Answers

Answered by Pratham4849
7
The next number in the series will be 9656
Answered by HanitaHImesh
0

Given,

13,39,118,356,1071,3217

To find,

The next number of the series.

Solution,

The next number of the given series will be 9656.

We can easily solve this problem by following the given steps.

Now, in such types of questions, we have to observe the pattern that is being followed from the first number to the last number of the series.

So, here the pattern is the multiplication of the previous number by 3 and addition of 0,1,2,3, --- consecutively.

We obtained 39 by multiplying 13 and 3 and adding 0.

Then, we obtained 118 by multiplying 39 and 3 and adding 1.

In the same way, we obtained 3217 by multiplying 1071 and 3 and adding 4.

So, the next number will be obtained by multiplying 3217 and 3 and adding 5.

[ In short, the pattern is (x × 3) + 0,1,2,3,-- where x is the previous number]

Hence, the next number is 9656.

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