456789
81
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
16 is the next squared number.
3263442
1
8
4
456789
81
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
The next number is 4, followed by -2
16 is the next squared number.
3263442
13, 21 - it is the Fibonacci sequence
This sequence is all the single digits, written in reverse alphabetical order. The first value is 0, and zero comes last alphabetically. The next value is 2, and two comes second last alphabetically, and so on. From this, it is clear that the next few numbers will be 9,4,5 and 8 (eight being the first number alphabetically) and then the sequence will end.
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.