Best Answer

Well, if you notice, the difference between 2 and 4 is 2. if we multiply that by 3, we get the difference between 4 and 10. Next, if we take that 6 and multiply by 3 we bet 18, the difference between 10 and 28. And if we multiply 18 by 3 we get 54 which is the difference between 28 and 82, etc....

Furthermore, We can define this pattern as the following recursively defined sequence:

an = an-1 + [ (an-1 - an-2) * 3] Where a0 = 2 and a1 = 4.

EX:

a2 = a1 + [ (a1 - a0) * 3 ] = 4 + [ (4-2) * 3 ] = 10

a3 = a2 + [ (a2 - a1) * 3 ] = 10 + [ (10 - 4) * 3] = 28

and so forth...... hope this helps!

Study guides

☆☆

Q: What number is next in line sequence 2 4 10 28 82?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

The next number in the sequence is 480

10

The next number in the sequence is 27.

8

-5

Related questions

the answer should be 5

The next number in the sequence is 480

10

next in the sequence: 10,20,30,20

how do you solve the questions to this sequence 0, 10, 24, 56, 112, 190

The next number in the sequence is 27.

The next number in the sequence is 27.

8

10

-5

If the sequence is determined by 100 - 70 = 30, then the next number is 10.

2030

People also asked