SOLUTION: How do you describe the pattern, write the next term and write the rule for the nth term for the sequences 1, 2, 4, 8,...

Algebra ->  Sequences-and-series -> SOLUTION: How do you describe the pattern, write the next term and write the rule for the nth term for the sequences 1, 2, 4, 8,...      Log On


   

Question 263488: How do you describe the pattern, write the next term and write the rule for the nth term for the sequences 1, 2, 4, 8,...
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
You note that the values are all divisible evenly by 2 (that is, there is no remainder). So the number 2 is part of the pattern...after you get past the starting 1.
.
Of we know that 2%5E0 (for that matter, any number 'x' raised to the zeroth power) = 1.
.
And 2%5E1 = 2.
2%5E2 = 4.
2%5E3 = 8.
.
So that seems to match the pattern. The next in the sequence would likely be:
2%5E4 = 16.
.