3 years ago

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

Mathematics

1 answer:

lutik1710 [3]3 years ago

7 0

9514 1404 393

Answer:

15625/4096

Step-by-step 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

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