Question

what is the next number in the following sequence 7 14 21 28

Answer 1

it'll be 35. As all the numbers differ by 7.

Answer 2

The next number in the sequence 7 , 14 , 21 , 28 is 35

Given :

The sequence 7 , 14 , 21 , 28

To find :

The next number in the sequence 7 , 14 , 21 , 28

Solution :

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 3 :

Write down the given sequence

Here the given sequence is

7 , 14 , 21 , 28

This is an arithmetic sequence

Step 2 of 3 :

Write down first term and common difference

The arithmetic sequence is

7 , 14 , 21 , 28

First term = a = 7

Common Difference = d = 14 - 7 = 7

Step 3 of 3 :

Find the next term in the sequence

Then 5th term of the sequence

= a + ( 5 - 1 )d

= a + 4d

= 7 + ( 4 × 7 )

= 7 + 28

= 35

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