Question

2,6,84,1020,? what is the next number in the series​

Answer 1

Answer:

2002 is the next number

Answer 2

Answer:

Here we should find logic of the each terms and find the next number of the series. Final Answer: next term: $15630$. Series: $2,6,84,1020,15630$.

Step-by-step explanation:

From the question,

Step 1: First we should find the logic of the 1st term. For that, Add $1$ and $1^{2}$. Then we will get the first term.

That is,         $1^{2}+1=2$

Step 2: Logic of the 2nd term is, Subtract $2$ from the $2^{3}$. Then we will get the second term.

That is,         $2^{3}-2=8-2=6$

Step 3: Logic of the 3rd term is, Add $3$ and  $3^{4}$. Then we will get the third term.

That is,        $3^{4}+3=81+3=84$

Step 4:Logic of the 4th term is, Subtract $4$ and  $4^{5}$. Then we will get the fourth term.

That is,        $4^{5}-4=1024-4=1020$

Step 5: Logic of the 5th term is, Add $5$ and  $5^{6}$. Then we will get the fifth term.

That is,       $5^{6}+5=15625+5=15630$

Last term: 15630