SOLUTION: 2, 4 , 6, 8 , Explicit formula? 2, 6, 18, 54, Explicit formula? 3, 6, 12, 24, Explicit formula? 2, 3, 4.5, 6.75 Explicit formula?

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Question 1194958: 2, 4 , 6, 8 , Explicit formula?
2, 6, 18, 54, Explicit formula?
3, 6, 12, 24, Explicit formula?
2, 3, 4.5, 6.75 Explicit formula?

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

1. , , , ,
here we need the formula for nth term of an arithmetic progression is

note that the difference between terms is
In this example we have and


where =,,,...


2. , , , ,

here we need the formula for nth term of a geometric progression which is



where =,,,...


3. ,, , ,
this is also a geometric progression


where =,,,...

4.
, ,,
rewrite sequence as , , ,
this is also a geometric progression



where =,,,...


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