Question: Solve the problem. The recursively defined sequence can be used to compute k for any positive number k. This sequence was known to Sumerian mathematicians

Solve the problem.

The recursively defined sequence aj = k -Н k if n>1 ая ад-1 + ад-1

can be used to compute √k for any positive number k. This sequence was known to Sumerian mathematicians 4000 years ago, and it is still used today. Use this sequence to approximate the given square root by finding a₆. Compare the result with the actual value.

(a) √2

(b) √11

aj = k - k if n>1 -1 + -1

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