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January 9th, 2011, 03:01 AM   #1
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exam tomorrow, few problems with surds,sequences,factorising

Big day tomorrow! I have found some past paper questions, but there is no mark scheme and I don't get some of them!
Firstly:
32timesroot 2=2 to power of a, find a

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January 9th, 2011, 03:03 AM   #2
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Re: exam tomorrow, few problems with surds,sequences,factori

-If some of you could please have a clear concise method of doing these it would be really appreciated, and not just answers!
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January 9th, 2011, 03:18 AM   #3
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Re: exam tomorrow, few problems with surds,sequences,factori

I'm thinking 32 to power of 1 times 2 to power of 1/2 =2 to power of a

1 1/2 =a?
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January 9th, 2011, 03:33 AM   #4
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Re: exam tomorrow, few problems with surds,sequences,factori





32 =

=
a = 5.5
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January 9th, 2011, 05:50 AM   #5
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Re: exam tomorrow, few problems with surds,sequences,factori

32.squareroot2=2^a
2^5.2^(0.5)=2^a
2^(5.5)=2^a
So a=5.5
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January 9th, 2011, 07:58 AM   #6
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Re: exam tomorrow, few problems with surds,sequences,factori

Ok I understand now as 5+ 1/2 =5.5.

The next problem I have is this sequences problem as shown in the picture...

I factorized it given that a=7 and d=6, and ended up with 172 and that doesn't work...
Attached Images
File Type: jpg maths problem.jpg (24.9 KB, 382 views)
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January 9th, 2011, 08:12 AM   #7
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Re: exam tomorrow, few problems with surds,sequences,factori

Have a look here, it might help http://en.wikipedia.org/wiki/Arithmetic_progression
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January 9th, 2011, 08:22 AM   #8
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Re: exam tomorrow, few problems with surds,sequences,factori

Hello Gladiatorx,

Chimoo's information is useful. Maybe it helps you understand:


Can you find n such that

?
Which solution for n do you choose and why?

Hoempa
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January 9th, 2011, 08:34 AM   #9
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Re: exam tomorrow, few problems with surds,sequences,factori

The sum of an arithmetic series is given by where is the first term and is the common difference.

Substituting known values:







Solve and choose the appropriate root.
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January 9th, 2011, 10:17 AM   #10
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Re: exam tomorrow, few problems with surds,sequences,factori

i got to there and got 172, but using n=172 gives a massive answer so....
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