This follows because a is between 1 < a < 2
Hi Forum!
I'm having difficulties with absolute value numbers.
This sequence is kind of strange, take a look:
Let a be a Real number such that 1<a<2, the sequence {an} is defined by
a1=a and an+1= |an|-1 such that {n=1,2,3,4,...}
And granted that Sn=a1+a2+a3+...+an.
--Find a4, a5, a6 and a7
Ok, no problem with this one
a2=|a1|-1 a2+1=|a1| a1=-a2-1 a2= -a+1
a3=|a2|-1 a3+1=|-a+1| -a3-1=-a+1 a3= a-2
a4=|a3|-1 a4+1=|a-2| -a4-1=a-2 a4= -a+1
...
So, there's an alternate sequence between odd numbered and even numbered terms.
a4=-a+1 a5=a-2
a6=-a+1 a6=a-2
For the problematic part:
Find S2,S4 and S6
S2=a1+a2
S2=a+(-a+1) = 1
But real answer is 2a-1
So, what's wrong Forum?
I really don't get what is wrong on this one.
If someone has some tips for the absolute value part, I would humbly accept it.
Thanks
Hi TheEmptySet!
Thanks for the reply!
Things like 1 < a < 2 still confuse me a bit, even more when combined with absolute values.
So, if 1 < a < 2, how come ?
I'm learning!!! I'm learning!!!
hahaha I'm loving it.
But still, this is kind of confusing, don't you think?
Thanks again!