Find the 10th term in the geometric sequence 2,6,18,54,162,...

Sluisu4

Sluisu4

Answered question

2022-09-01

Find the 10th term in the geometric sequence 2,6,18,54,162,...

Answer & Explanation

cisalislewagobc

cisalislewagobc

Beginner2022-09-02Added 8 answers

Defining the sequence as {Sn}, n=1,2,3,...Sn+1/Sn = 3
Sn+1 - 3 Sn = 0.
The obvious solution is Sn = 2X 3 n - 1 .
S10 = 2X 3 9 = 39,366.
The general solution of the difference equation
Sn+1 - a Sn = 0 is
Sn = CX a n - 1
C is determined from the first value S1..

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