1 /4, 4/9,9/16,16/25,... please find the next two terms, nth term and 10th term of the given sequence.

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

See below in bold.

Step-by-step explanation:

Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....

The next 2 terms are 25/36 and 36/49.

The nth term is n^2 / (n + 1)^2 where n is the sequence number.

The 10th term is 10^2 / 11^2

= 100/121.

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