Page 7 - Math Grade 11 (Advance)

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(k+1) -k = 3k +3k+l tftlru~ k [jjfl6'it~n 1 f:lrn n

3 3 2
2 - 1 = 3 X 1 + 3 X 1 + 1

3 3 2
n - (n- 1) = 3 X (n- 1) + 3 X (n- I) + 1
3 3 2
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(n+1) -n = 3xn +3xn+l
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3 3 2 2 2 2
(n+l) -1 =3x(l +2 +3 + ... +n)+3x(l+2+3+ ... +n)+(l+l+l+ ... +l)
= 3XS+3xn(n -l)+n
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j:)lli]Sl S tj:)QlS 1 2 + 2 + z + ... + n2 = n(n + 1~(2n + l) '1
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