Question

Find next three terms?
1, 2, 4, 7, 8, 10, 25, 26, 28, 79, ___ , ___ , ___

Answer 1

This works with groups of three numbers.
Once you know the first number of each group, the next two numbers are obtained by simply adding 1 to the first number then adding 2 to the second number.

Start with 1, then add 1, then add 2; that gives you 1, 2, 4

To start the second group, notice the first number is 7. 7 is 6 more than 1.
Now add 6 to the first number, 6 + 1 = 7, now add 1 then add 2: 7, 8, 10

To start the third group, 25 is 18 more than 7. 18 = 3*6, and 6 was the previous increment.
Now add 18 = 3*6 to the first number of second group: 25. Add 1, then add 2: 25, 26, 28
Now add 3*18=54 to the first number of the third group: 25+54 = 79; add 1 then add 2:
79, 80, 82
Now add 3*54 to the first number of the third group: 79 + 3*54 = 241

1, 2, 4, 7, 8, 10, 25, 26, 28, 79, 80, 82, 241

Answer 2

thanks! is there a way to find the nth term?