# Math Help - Sequences

1. ## Sequences

This sequence is defined implicitly. List the first six terms of this sequence.

a0 = 1 and an+1 = an + (1/(2^n))

The 0 and the an's are suppose to be small and lower to the letters, you know what I mean I hope!

2. you should simply follow the recurrence given:
$a_0=1$
$a_1=a_0+\frac{1}{2^0}=1+\frac{1}{2^0}=2$
$a_2=a_1+\frac{1}{2^1}=2+\frac{1}{2^1}=2.5$
and so on...

hope this helps

3. Is a0 part of the "six" terms thus I only find the terms for a0 to a5, or do I just find out from a1-a6? It says the "first six terms"....

4. I think what is meant is the first six terms starting form $a_0$ since the sequence is defined by $a_0$ as the first term. Hence you should provide $a_0$....... $a_5$