SOLUTION: 2. Consider the geometric sequence 8, 12, 18, 27, � (a) Find the formula for its general term. (b) Find its 17th term to 3 significant figures. (c) Use algebra to find out

Question 991841: 2. Consider the geometric sequence 8, 12, 18, 27, �
(a) Find the formula for its general term.
(b) Find its 17th term to 3 significant figures.
(c) Use algebra to find out which is the least term of the sequence greater than 1000

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
8, 12, 18, 27
(a) Find the formula for its general term.

We find the common ratio by dividing each term after the
first by the preceding term

, ,  

So 

Use standard formula

(b) Find its 17th term to 3 significant
figures.

Substitute 17 for n

















So the next integer is 13

You can substitute and find that the 13th term is 1037.971

And that is the least term of the sequence greater than 1000
because the 12th term is only 691.980

Edwin

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