Test 1 Flashcards

1
Q

Formula for arithmetic progression

A

a + (n-1)d

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2
Q

Formula for total arithmetic progression

A

n terms,
first term a,
common difference d,

S = 1/2n (2a + (n-1)d)

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3
Q

Formula for total of arithmetic progression when have last number

A

n terms,
first term a,

1/2n(a+ l) where l is the last term.

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4
Q

Convergent

A

Approaching a definite limit as more of its terms are added

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5
Q

Term to term

A

Next term obtained from old term

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6
Q

Position to term

A

Term not based on prior term

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7
Q

Periodic sequence

A

Repeats every P terms

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8
Q

Divergent

A

Not convergent

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9
Q

How to get sigma notation

A

Catalog, function analysis, €

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10
Q

->
<-
<->

A

If … then
… is true if …
If and only if

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11
Q

If r is a root of the polynomial f(x),

Root is value of x that make equal to 0

A

then (x-r) is a factor

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12
Q

Differentiation first principle for f(x)

A

Dy/dx = lim f(x+h) -f(x)
h->0 —————
h

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13
Q

Minimum point of
(4x+1)^2 -9

A

(-1,-9)

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14
Q

If a>0 😃
If a<0 🙃

A
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15
Q

Binomial expansion equation

A

(a+b)^n = nCt x a^(n-t) x b^t

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16
Q

Inverse proportion equation

A

Y = k/x

17
Q

Direct proportion equation

A

Y = kx

18
Q

Then (x-r) is a factor

A

If r is a root of the polynomial f(x) then…

(Root is variable for which a polynomial is equal to 0)

19
Q

Find tangent of y= x^2 -x+3
Going through point (4, 15)

A

Dy/dx = 2x-1

As x=4

Therefore, dy/dx = 2*4 -1
= 7

Y = mx + c
Y = 15
Therefore,
15 = 7*4 + c
15 = 28 + c
C = -13
y = 7x -13

20
Q

Perfect square

A

An integer that can be expressed as the square of another integer

21
Q

Two different odd letters

A

2a + 1, 2b +1