# Geometric Sequences

Jack calls 4 people within 10 minutes of his son's birth to pass along the news. They each pass along the news to 4 new people within 10 minutes and so on. How many people have heard the news in 1 hour?

 Apr 04, 2013 Sequence by: Staff AnswerPart IAny term in a geometric sequence can be computed using the following formula: The sum of n terms in a geometric sequence can be computed using the following formula: an = a with a subscript of n is the nth term in the sequence Sn = S with a subscript of n is the sum of the terms of the geometric sequence from n = 1 through the nth term in the sequencea1 = a with a subscript of 1 is the 1st term in the sequence n = number of terms r = the common ratio r, the common ratio, can be calculated as follows: rn = an / an-1 (n must be greater than 1) a1 = 4 (10 min)a2 = 16 (20 min)a6 = unknown (60 min) Calculate rn -----------------------------------

 Apr 04, 2013 Sequence by: Staff ----------------------------------- Part II Calculate how many people have heard the news in 1 hour a1 = 4 r = 4 n = 6 Final Answer: Thanks for writing. Staff www.solving-math-problems.com

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