SOLUTION: f(n)=4*2(n-1) I have to use the explicit formulas to generate the first 4 terms of each geometric sequence.

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Question 1125134: f(n)=4*2(n-1)
I have to use the explicit formulas to generate the first 4 terms of each geometric sequence.
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
To get the first term, simply substitute n= 1 into the formula and then calculate


    f(1) = 4*2(1-1) = 4*2*0 = 0.



To get the second term, simply substitute n= 2 into the formula and then calculate


    f(2) = 4*2(2-1) = 4**2*1 = 8.



I leave it to you to do the same for the third and the fourth terms on your own.


There are NOTHING easier than that.

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By the way, what you wrote in your post IS NOT a geometric progression.

To show a geometric progression, the formula should be f(n) = 8*2^(n-1).


Learn how to write formulas correctly.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28n%29=4%2A2%28n-1%29
Assume n begins with 1.
f%281%29=4%2A2%281-1%29.........if n=1
f%281%29=4%2A2%280%29
f%281%29=highlight%280%29-> first term

f%282%29=4%2A2%282-1%29.........if n=2
f%282%29=4%2A2%281%29
f%282%29=highlight%288%29-> second term


f%283%29=4%2A2%283-1%29.........if n=3
f%283%29=4%2A2%282%29
f%283%29=highlight%2816%29-> third term


f%284%29=4%2A2%284-1%29.........if n=4
f%284%29=4%2A2%283%29
f%284%29=highlight%2824%29-> fourth term