Question

What is the common difference in the following sequence.

2, 5, 9, 14, ...
A.
There is no common difference in this sequence
B.
The common difference is 3.
C.
The common difference is 4.
D.
The common difference is 5.

Answer 1

Hii student!

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`\multimap\parallel\boldsymbol{Answer.}\parallel\gets`

there's no common difference in the sequence!

`\multimap\parallel\boldsymbol{Explanation.}\parallel\gets`

The common difference is the amount we add or subtract to obtain the next term. It should always be the same amount.

Since in this given sequence we add 3, then 4, then 5, there's no common difference in this sequence.

`\maltese\boldsymbol{\therefore,\,option\;a\;is\,correct.}`

Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}`

`\boldsymbol{-Greetings!-}`

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Answer 2

There is no common difference between each sequence.

Explanation:

The difference between each number increases by 1 each time.

2+3=5

4+4=9

9+5=14

Therefore the next number is 20.

14+6=20