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    (Original post by kingaaran)
    They're written by the same people, so, apart from the bits of roots, everything else has the potentiality to make an appearance in a standard FP1 Paper
    Well im going to die!
    Can you help with the induction for Jan 2016 IAL Quesiton 9?

    Thanks much apreciated!
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    Did you see my working I posted earlier?

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    (Original post by economicss)
    Not very far at all, only got the equation! Please could you post your working for it have you done part b? Thanks
    Did you see my working out I posted earlier?

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    (Original post by fpmaniac)
    Can you properly explain to me how to do sigma r=0 to r=n with some examples. I still dont get it....
    Remember

     \displaystyle\sum_{i=0}^n f(i) = \displaystyle\sum_{i=1}^n f(i) + f(0)

    That's all you need to know. You want to just get a 1 at the bottom, so that you can then use your standard formulae
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    (Original post by Hot&SpicyChicken)
    Well im going to die!
    Can you help with the induction for Jan 2016 IAL Quesiton 9?

    Thanks much apreciated!
    What have you tried?
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    question: for the argument of z

    i know you do tan^-1 (b/a) of a + bi

    but do you keep a and b exactly how they are, or are they the mod of a and b?

    example:
    z = 1 - i

    would it be tan-1(-1/1) or simply tan-1(1/1)... and why?
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    (Original post by TomWeller)
    question: for the argument of z

    i know you do tan^-1 (b/a) of a + bi

    but do you keep a and b exactly how they are, or are they the mod of a and b?

    example:
    z = 1 - i

    would it be tan-1(-1/1) or simply tan-1(1/1)... and why?
    I find it easiest to draw z on an Argand diagram and use tan-1 of the mod of b/a, then draw on the diagram which angle you've calculated and from that work out the argument of z
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    (Original post by TomWeller)
    question: for the argument of z

    i know you do tan^-1 (b/a) of a + bi

    but do you keep a and b exactly how they are, or are they the mod of a and b?

    example:
    z = 1 - i

    would it be tan-1(-1/1) or simply tan-1(1/1)... and why?
    You should compute a and b without their signs and then use the signs (and an Argand diagram, I hope) to determine what the argument will be.

    For example, -2-3i, will be worked out -pi + arctan(3/2), and 2+3i, just arctan(3/2).
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    I dont understand what to use when doing proof for divisibility.

    Do you prove for f(k+1) then prove thats divisible by x
    or do you prove f(k+1)-f(k) is divisible by x
    or do you prove f(k+1) -nf(k) is divisible by x?

    How do I know which to do?
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    (Original post by kingaaran)
    You should compute a and b without their signs and then use the signs (and an Argand diagram, I hope) to determine what the argument will be.

    For example, -2-3i, will be worked out -pi + arctan(3/2), and 2+3i, just arctan(3/2).
    Thank you! i think there may a mistake on one of my teacher's worksheets which is annoying which uses a and b exactly how they are with the negative sign. Thank you
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    (Original post by fpmaniac)
    So what would it be for sigma r=0 r=n for r and sigma r=0 and r=n for rsquared
    Well, think about it.. how many terms are there from r = 0 to n?
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    (Original post by kingaaran)
    Solution on post 940
    ahh thank you!!
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    (Original post by AlfieClements)
    I dont understand what to use when doing proof for divisibility.

    Do you prove for f(k+1) then prove thats divisible by x
    or do you prove f(k+1)-f(k) is divisible by x
    or do you prove f(k+1) -nf(k) is divisible by x?

    How do I know which to do?
    Always write f(k+1) and then aim to find f(k) within the equation
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    Can someone post a couple of tricky FP1 questions? The past papers are very repetitive.
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    (Original post by hogree)
    Question.

    When you differentiate a parabola (so something with the equation y2 = 4ax) would you always make the differential a +/- or would you put it as simply a +? Because if leaving it just as a +, it gives you just one equation when you plug in, because obviously there is just one gradient.. But a +/- makes more sense.

    Anyone mind clearing this up?
    Take the + because you're normally only concerned with the bit above the axis.
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    (Original post by techfan42)
    Always write f(k+1) and then aim to find f(k) within the equation
    Okay, then if it doesn't work should I do f(k+1) - f(k)?
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    (Original post by Hot&SpicyChicken)
    Well im going to die!
    Can you help with the induction for Jan 2016 IAL Quesiton 9?

    Thanks much apreciated!
    sorry for the ink smudge
    Attached Images
     
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    (Original post by alfmeister)
    Did you see my working out I posted earlier?

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    No, could you link me to it please? Thanks
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    (Original post by AlfieClements)
    Okay, then if it doesn't work should I do f(k+1) - f(k)?
    It always works. I used to do f(k+1) +/- f(k), but then used to get the questions wrong sometimes. This is much easier as it always works also it's the method always used in the FP1 model answers
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    (Original post by alfmeister)
    Did you see my working out I posted earlier?

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    Ah just found it, thanks so much for that I don't suppose you've done part b? Thanks
 
 
 
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