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Suppose t(n) is the nth term.
Then t(n) = -1 + 2n (for n = 1, 2, 3, ... 100)
Now
t(1) + t(100) = (-1 + 2*1) + (-1 +2*100) = 1 + 199 = 200
t(2) + t(99) = (-1 + 2*2) + (-1 +2*99) = 3 + 197 = 200
there are 50 such pairs.
So the grand total is 50*200 = 10000
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∙ 12y ago
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