laurynebird
Answered

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 9, 27/2, ....
Find the 6th term.

Sagot :

indrawboy

geometric sequence

[tex]\tt U_n=ar^{n-1}[/tex]

a = 6 = first term

r = ratio = [tex]\tt \dfrac{9}{6}[/tex]

the 6th term (n=6)

[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]

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