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Deduce a formula (in terms of n) for the following sum: sum (2^i * i) where 1<=i<=n, n,i: natural numbers ( one can write this sum as: 1*2^1+ 2*2^2+ .. +n*2^n)

Let S = sum i* 2i (i=1,2..n) We multiply this by 2 and we obtain:2S = sum (i2i+1 ) = sum [(i+1-1) * 2i+1 ]= sum[ (i+1)2i+1 ] - sum 2i+...

AS
Answered by Alexandru S. MAT tutor
2062 Views

What top tips would you give for the BMAT test?

The BMAT test is very demanding by medical and dental schools that use them as part of their admissions process. Effective preparation is vital to perform well and have a strong chance at getting those co...

AG
2637 Views

How do I best approach translation in the .MLAT and how do I prepare for it?

Method of translation:1.) First, it is key to grasp the meaning of the sentence - instead of looking at the words individually, look at them as a coherent string 2.) If you don't understand a wor...

PK
2947 Views

Five point charges, each of positive charge q, are arranged to form the corners of a uniform pentagon. A point charge Q is placed at the pentagon's centre. One of the corner charges is removed. What force does the centre charge experience?

There are four keys to answering this problem - when taken together, they turn a seemingly difficult calculation into a trivial one-line answer. The first is knowing Coulomb's inverse square law for the f...

TA
Answered by Theo A. PAT tutor
2559 Views

Is breaking the law always immoral? Discuss.

Most importantly, answers to essay questions in the LNAT need to be relevant and well-written. These are the qualities of a good lawyer.
The answer to this question should therefore demonstrate a ba...

BW
Answered by Beatrice W. LNAT tutor
2487 Views

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