Question

2,3,4,4,8,7,14,12,?​

Answer 1

Answer:

13

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Answer 2

Step-by-step explanation:

Given:

$2,3,4,4,8,7,14,12,?$

To find:

The next number in the sequence $2,3,4,4,8,7,14,12,?$

Solution:

$2,3,4,4,8,7,14,12,...$

Now separate the given series into odd position alone and even position alone.

Therefore an odd position sequence is,

$2,4,8,14,?$

Here the starting number is $2$ and the next number is $4.$ We start our answer from this.

Now add to $2$ by $2$ and we get $4.$

⇒ $2+2=4$

Now add to $4$ by $4$ and we get $8$.

⇒ $4+4=8$

Now add to $8$ by $6$ and we get $14.$

⇒ $8+6=14$

Here we can see that differences between each term goes likes an even number $2,4,6,8,10,...$

∴ Add to $14$ by $8$ and we get $22.$

⇒ $14+8=22$

Hence the missing number is $22.$

In this given sequence an odd position of the sequence goes like this.

and the even position sequence is,

⇒ $3,4,7,12,...$

Here the starting number is $3$ and the next number is $4.$ We start our answer from this.

Add to $3$ by $1$ and we get $4.$

⇒ $3+1=4$

Add to $4$ by $3$ and we get $7.$

⇒ $4+3=7$

Add to $7$ by $5$ and we get $12.$

⇒ $7+5=12$

This sequence goes like this.

Here we can see that difference between each term goes likes an odd number $1,3,5,7,9,...$

In the given sequence an even position of the sequence goes like this.

Now the sequence is,

$2,3,4,4,8,7,14,12,22$

Answer:

Hence the missing number in the sequence is $22.$