Question

Decide which number should replace the blank in the following sequence? 0,3,7,10,14,17,21,___​

Answer 1

Answer:

24 will be replace the blank

Answer 2

Step-by-step explanation:

Given: 0, 3, 7, 10, 14, 17, 21, _____

To find: Decide which number should replace the blank in the given sequence.

Solution:

Step 1: Identify the pattern

$3 - 0 = 3$

$7 - 3 = 4$

$10 - 7 = 3$

$14 - 10 = 4$

it is clear that, alternatively difference of 3 and 4 is present.

Step 2: Find the next term.

Difference of last two terms are

$21 - 17 = 4$

So,

Next term will be find by addition of 3.

$21 + 3 = 24$

Therefore,

Next term will be 24.

Final answer:

Next term is 24.

0, 3, 7, 10, 14, 17, 21, 24

Hope it will help you.

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