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You are not logged in. #1 20131122 16:02:11
any shortcut?pls tell me is there any easier way to solve the following: friendship is tan 90°. #2 20131122 16:25:04
Re: any shortcut?Hi, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  Buddha? "Data! Data! Data!" he cried impatiently. "I can't make bricks without clay." #7 20131124 15:10:12
Re: any shortcut?and if there is a long series, then is it necessary to compute each one? friendship is tan 90°. #8 20131124 15:10:55
Re: any shortcut?Nope, it is rather easy! No computation necessary. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #10 20131124 15:40:16
Re: any shortcut?Hi; Now subtract the bottom one from the top one. The technique is called telescoping. Notice the massive cancellations making the sum to any amount of terms easy. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #11 20131124 16:40:25
Re: any shortcut?so here the answer is .right?its a nice method but if we have just one equation like what do we need to do now? friendship is tan 90°. #13 20131124 21:52:42
Re: any shortcut?Hi; just as Nehushtan did above. You break it into partial fractions as above: Now you telescope it out Now just subtract the bottom from the top, again with massive cancellations. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #14 20131125 21:41:53
Re: any shortcut?thanks again! friendship is tan 90°. 