SOLUTION: The second term of a GP is 4, the fifth term is 81. Find the seventh term

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Question 1154077: The second term of a GP is 4, the fifth term is 81. Find the seventh term
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
he second term of a GP is 4, the fifth term is 81. Find the seventh term



we need to find first term and common ratio
using nth term formula of a GP :

where is first term, is common ratio, and is a number of terms

given:



....eq.1




....eq.2


from eq.1 and eq.2 we have

....take to fourth power





















go to

....eq.1, substitute










7th term: n=7











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