Matthew Soon's answer to Ben's Secondary 3 A Maths Singapore question.
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From earlier part, you should get (1/2) - (1/3).
For the last part, if you start expand them, you'll notice that you have...
(1/2) - (1/3) + (1/3) - (1/4) + (1/4) ... + (1/101) - (1/102)
Notice how there's a pattern where (1/3) is cancelled out, and (1/4) is cancelled out... so on.
So you're left with (1/2) - (1/102),
Which gives you (50/102), simplified into 25/61.
For the last part, if you start expand them, you'll notice that you have...
(1/2) - (1/3) + (1/3) - (1/4) + (1/4) ... + (1/101) - (1/102)
Notice how there's a pattern where (1/3) is cancelled out, and (1/4) is cancelled out... so on.
So you're left with (1/2) - (1/102),
Which gives you (50/102), simplified into 25/61.
Date Posted:
3 years ago
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