Question

what is the next number in the following sequence 5,7,11,17,25,35​

Answer 1

Answer:

47 , 61, 77

Step-by-step explanation:

add consecutive even numbers and you will get answer.

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Answer 2

The next number in the sequence 5 , 7 , 11 , 17 , 25 , 35 is 47

Given :

The sequence 5 , 7 , 11 , 17 , 25 , 35

To find :

The next number in the sequence

Solution :

Step 1 of 4 :

Write down the given sequence

The given sequence is 5 , 7 , 11 , 17 , 25 , 35

Step 2 of 4 :

Calculate differences between the two consecutive terms

7 - 5 = 2

11 - 7 = 4

17 - 11 = 6

25 - 17 = 8

35 - 25 = 10

Step 3 of 4 :

Calculate the next difference

The differences are 2 , 4 , 6 , 8 , 10

We see that the difference between the two consecutive numbers is in multiple of two

So next difference = 10 + 2 = 12

Step 4 of 4 :

Find the next term of the sequence

The next of the sequence

= 35 + 12

= 47

The next number in the sequence 5 , 7 , 11 , 17 , 25 , 35 is 47

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