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215,36,6 find the seventh term


Pls help

User JFer
by
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1 Answer

6 votes

Answer: 216, 36, 6, 1, 1/6, ...

Explanation:

216, 36, 6, ...


b_1=216\\b_2=36\\b_3=6\\\displaystyle\\q=(b_2)/(b_1) \\\\q=(36)/(216) \\\\q=(1)/(6) \\\\q=(b_3)/(b_2) \\\\q=(6)/(36) \\\\q=(1)/(6) \\\\Hence,\\\\b_n=b_1q^(n-1)\\\\b_5=216*((1)/(6))^(5-1)\\\\b_5=216*((1)/(6) )^4\\\\b_5=216*(1)/(6^4)\\\\b_5=6^3 *(1)/(6^4) \\\\b_5=(6^3)/(6^4) \\\\b_5=6^(3-4)\\\\b_5=6^(-1)\\\\b_5=(1)/(6)

User CeejeeB
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