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Studying

1. Studying
   posted a quote
   April 7, 2012 8:30am UTC
   Series & Sequences
   Sorry it's so long! And I couldn't be bothered to make the fractions...
   Sequence: A bunch of ordered numbers.
   Series: A bunch of ordered numbers added together.
   Arithmetic series: Numbers differ by a certain number
   Eg, 2 + 5 + 8 + 11...
   Geometric series: Numbers which differ in a ratio. The third number over the second number is EQUAL to the second over the first.
   Eg, 3 + 9 + 27 + 81...
   Arithmetic series formulae:
   Finding a term:
   Tn = a + (n-1)d
   Tn = nth term
   a = first term
   n = number of terms
   d = difference between each term (sometimes negative)
   Sn = (n/2)(a + l )
   Sn = Sum of n terms
   l = last term
   Sn = (n/2)[2a + (n-1)d]
   Can be derived from the 2nd equation
   Geometric series formulae:
   Tn = ar^(n-1)
   r = ratio of terms. To find this, divide the second term by the first term.
   Sn = [a(r^n-1)]/(r-1)
   If lrl > 1
   Sn = [a(1-r^n)]/(1-r)
   If lrl < 1
   S∞ = a/(1-r)
   S∞ = Sum of an infinite number of terms.
   Only happens when lrl < 1
   (ie, a converging series such as 1 + 1/2 + 1/4 + 1/8 + 1/16 +...+ 1/big number (which approximately = 0) = 2 )
   
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2. Studying
   posted a quote
   April 7, 2012 2:09am UTC
   Equations
   Acid + Base = Salt + Water
   Acid + Metal = Salt + Hydrogen gas
   Acid + Carbonate = Salt + Water + Carbon dioxide
   Addition polymerisation: Molecule + Molecule +...+ Molecule = Polymer (only works when there's a double bond)
   Condensation polymerisation: Molecule + Molecule +...+ Molecule = Polymer + small molecules (usually water).
   
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3. Studying
   posted a quote
   April 7, 2012 1:59am UTC
   ASSONANCE:
   A sound technique. The repetition of vowels inside a word.
   For example, "I must confess that in my quest I felt depressed and restless" (With Love by Thin Lizzy).
   
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4. Studying
   posted a quote
   April 7, 2012 1:52am UTC
   2
   ∆= b -4ac
   If ∆ = 0, there's one root.
   If ∆ = squared number, there are two rational roots.
   If ∆ > 0, there are 2 roots.
   If ∆ < 0, there are no roots.
   
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5. Studying
   posted a quote
   October 14, 2011 7:56am UTC
   F=Gm1m2
   __________________
   2
   r
   This formula is complete bull.
   The attraction between us has got to
   -8
   be more than 2.6*10 N
   If you want to learn about this equation, view comments.
   
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6. Studying
   posted a quote
   June 2, 2011 3:18am UTC
   PATHETIC FALLACY:
   A technique. The weather reflects somebody's mood.
   For example, somebody is sad. There are heavy clouds looming overhead.
   
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7. Studying
   posted a quote
   June 2, 2011 3:03am UTC
   2 2 2
   CosA=b +c -a_
   2bc
   2 2 2
   a =b +c -2bcCosA
   Used when 3 sides and 1 angle is involved in the problem.
   When you need to find a side,
   I like to remember it as a sandwich.
   The missing side is opposite an angle
   which is between two known sides.
   I'm probably not making sense.
   
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8. Studying
   posted a quote
   June 1, 2011 8:41am UTC
   AVOGADRO'S CONSTANT
   23
   6.022x10
   Number of molecules in a mole
   eg, in one mole of water (18 grams of water) there are 6.022x10^23 molecules. Therefore, there is 6.022x10^23 x 2 hydrogen atoms.
   
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9. Studying
   posted a quote
   June 1, 2011 3:17am UTC
   E=F/Q
   F=EQ
   Q=E/Q
   E = Electric field strength (N/C)
   F = Force (N)
   Q = Charge (C)
   (How I remember E = Not/Cool)
   (Not sure if you get what I mean)
   
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10. Studying
    posted a quote
    June 1, 2011 2:57am UTC
    2
    x = -b± √(b -4ac)
    2ac
    
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