SOLUTION: In a geometric sequence where the 3rd term is 18 and the 8th term is 4,374, find the nth term.

Question 1100227: In a geometric sequence where the 3rd term is 18 and the 8th term is 4,374, find the nth term.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

 = ,    (1)

 = .    (2)

====================================>

 =  = 243 =  =   ====>


r =  = 3.


Thus the common ratio is 3.


Then the first term  is   =  =  = 2.


Answer.  The first term  is 2.  The common ratio is  3.

         The n-th term is  = .

Solved.

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    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions

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