exam Maths Puzzle Numerical Ability

Find 3 consecutive intergers such that the sum of their squares is 77.

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exam Other Question

Please tell me if I have correctly simplified the following equation.
sqrt20/5-1/sqrt5 written as a fraction the 20 is under the sqrt and over 5 subtracted from 1 over sqrt 5.

I get 1 over 5 sqrt 5. find the quadratic equation (T(n)=...) for:
2, 3, 5, 7 and 9.
2, 4, 8, 16, 32.
11,22, 33, 44, 55.

and is there an easy way to find the next numbers in a quadratic sequence?