Use geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27
1 answer:
Answer:
18
Step-by-step explanation:
<em>First, use the equation for geometric mean; an=a1r^n-1</em>
*where is an is the number at an n term, r is the ratio and a1 is the first number of the sequence.*
12 = a1 r^5
27 = a1r^7
From the equations above,
a1 = 128/81
r = 3/2
Therefore, the 7th term is:
an = (128/81) (3/2)^6
an = 18
hope this helps :)
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