# math30

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Sequences

1)A sequence has a first term of 24 and every other term is one half of the previous term.

a)Write the first four terms of the sequence.

b)Find a recursive formula that defines this sequence.

c)Find an explicit formula that defines this sequence. This will be discussed later, but you could use the geometric form tn=ar(n-1) where a is the first term, r is the common ratio and n is the number of terms.

d)Find t6 and t8.

• math30 -

Either you are lost, or are looking for someone to give you answers. I will assume the former for now:

a) 24, 12, 6,3, ...
b) an=an-1*1/2
c. tn=24*(1/2)n

t6= 24*(1/2)^6=24/64

• math30 -

I am looking for help to find out if my answer is right or not!
Thanks any way!!

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