Proof

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Question 57

$n\,$ and $k\,$ are integers. Prove algebraically that the sum of $n (n + 2 k)$ and $k^2\,$ is always a square number. Give the square number in terms of $n\,$ and $k$ .

[2]

Proof

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73

Question 57

$n\,$ and $k\,$ are integers. Prove algebraically that the sum of $n (n + 2 k)$ and $k^2\,$ is always a square number. Give the square number in terms of $n\,$ and $k$ .

[2]

Proof

Question 57

Markscheme

Proof

Question 57

Markscheme

Proof

Question 57

Proof Questions

Proof

Question 57

Proof Questions