ESAT M2

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9 Terms

1
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Sum of the first n natural numbers

n(n+1)/2

2
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Sum of a Finite Geometric Series

a(1-r^n)/1-r

3
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Sum of infinite geometric series (convergent i.e mod(r )<1)

a/1-r

4
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Binomial Expansion

a^n + nC1 a^(n-1)b + nC2 a^(n-2)b² +… + nCr a^(n-r)b^r + b^n

5
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Choose Formula (nCr)

n!/[r!(n-r)!]

6
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New Straight Line Equation

y-y1 = m(x-x1)

7
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Arc Length =

rTheta

8
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Area of A segment

1/2r²Theta OR 1/2 rs (s is arc length)

9
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Trapezium Rule

1/2h(y0+yn + 2{y1+y2+…})
Where h=b-a/n