Geometric Sequence find the 23rd term.

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SUMMARY

The discussion focuses on calculating the 23rd term of a geometric sequence with an initial value of 25 and a common ratio of 1.8. The formula used is a_n = a_1•r^(n-1), where a_1 is the initial value, r is the common ratio, and n is the term number. The calculation for the 23rd term is confirmed as a_23 = 25 * (1.8)^(22), resulting in a value of 10,326,071.3 when rounded to one decimal place.

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A geometric sequence has an initial value of 25 and a common ratio of 1.8. Write a function to represent this sequence . Find the 23rd term.

My Effort:

The needed function is

a_n = a_1•r^(n-1), n is the 23rd term, r is the common ratio and a_1 is the initial value.

a_23 = 25•(1.8)^(23 - 1)

Is this correct?
 
Mathematics news on Phys.org
yes
 
a_23 = 25 * 1.8(23-1)

a_23 = 25 * (1.8)^(22)

a_23 = 10326071.3

Correct?
 
To one decimal place, yes. Do you have a reason for choosing to write the answer to one decimal place?
 

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