Algebra Flashcards

1
Q

Sum of roots in quadratic equation

A

-B/A

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2
Q

Product of roots in quadratic equation

A

C/A

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3
Q

r^th term in binomial expansion (a+b)^n

A

C(n,r-1)(a^(n-r+1))(b^(r-1))

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4
Q

Sum of n numbers in arithmetic progression

A

sn = (n/2)*(a1+an)

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5
Q

n^th number in arithmetic progression

A

an = a1+(n-1)*d

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6
Q

n^th number in geometric progression

A

an = a1*r^(n-1)

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7
Q

Sum of n numbers in geometric progression

A

sn = a1*((1-r^n)/(1-r)) where r is not equal to 1

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8
Q

Sum of coefficients of the expansion of (x+y)^2

A

Sum = (coeff. of x + coeff. of y)^n

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9
Q

Sum of exponents of the expansion of (x+ y)^2

A

Sum = n(n+1)

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