Tuesday, May 1, 2007

Prompt

What questions do you have on this topic?
How do I write an explicit formula? How do I build it? I know we first need to find the number of jumps and then find the difference between each of them. Then, should we use the definition of the sequence depending on its type?

What mistakes are you most likely to make?
I get stucked in each exercise when defining the type of sequence and it is difficult for me understanding what the problem is asking for.

Potential quiz problem
In a geometric sequence, t3= 12 and t6= 96. Find t11.

2 comments:

MC Manzur said...

Solution:

tn=t1*r^(n-1)

t3=t1*r^(n-1) t6=t1*r^(n-1)
t3=12 t6=96

r=2

t1=t3/r^2 t1=t6/r^5

t=3

t11=t1*r^10
t11= 3*2^10
t11= 3072

wickris said...

MC Manzur,
Maybe this can at least help you for the final exam since the quiz was today. When the sequence is arithmetic, the sequence involves adding or subtrating to each previous number. When the sequence is geometric, the sequence involves multiplication (or division, but the divisor must be converted to a fraction) to each previous term.