Answer:
19.
Step-by-step explanation:
The given series is ,
4 , 6 , 9 , 6 , 14 , 6 . . . . .
We can see here than 6 is being repeated after every alternate number. And for some time if we don't look at 6 , then the series would look like ,
4 , 9 , 14 , . . . . .
Notice that 5 is being added to previous term in order to obtain the next term. Therefore, the series goes like ,
n , 6 , n +5 , 6 , n +10 , . . . . .
Therefore, the next term would be ,
14 + 5 = 19
Hence the required answer is 19 .
The next number in the series can logically be deduced to be; 19
The given sequence is;
4 , 6 , 9 , 6 , 14 , 6 . . . . .
From the sequence, we observe that 6 is being repeated after every alternate number. If we ignore the 6, we discover that 5 is added to each alternate number to produce the next number. The last number in the series is 6 and as such the next number will be an alternate number.
Thus, next number in the series = 14 +5 = 19
Read more about arithmetic sequence at; https://brainly.com/question/6561461
