Observe the following pattern
1
12
6
1
6
111x(1 +1)x (2x1+1)]
12 + 2 = -12% (2 +1)x (2x2 +13)
1*+22+3 13x13 + 1)2(2x3+1
1² +2²+ 3² +4² [4x(4+1)x(2x 4 +1)]
and find the values of each of the following:
(i) 12 +22 +32 +42 + ... +102
(ii) 52 +62 +72 +82 +92 +102 +112 + 122
1
6
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Practice Exercise 6. 1. Consider the sequence 2, 4, 6, 8, 10, 12,… The first term is 2 x 1. The second term is 2 x 2. The third term is 2 x 3 ...
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