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Find the 7th term of the sequence 1,5/4,25/16

Find the 7th term of the sequence 1,5/4,25/16
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5 votes
Find the 7th term of the sequence 1,5/4,25/16

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User Xpqz
by
8.7k points

1 Answer

1 vote

9514 1404 393

Answer:

15625/4096

Explanation:

The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...

an = a1·r^(n-1)

an = 1·(5/4)^(n-1)

Then the 7th term is ...

a7 = (5/4)^(7-1) = 15625/4096

answered
User Vrushank Doshi
by
8.0k points
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