1st Qtr: Patterns, Arithmetic Sequence, Series, Means Flashcards

1
Q

Refer to usual types of procedures
Sequence, order, repetition

A

Patterns

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2
Q

Arrangements of numbers or objects

A

Sequence

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3
Q

Are the numbers or objects in the sequence

A

Terms

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4
Q

General form
(First difference is constant)

A

an + b = a↓n

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5
Q

General form
(When first difference is NOT constant)

A

an² + bn + c = a↓n

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6
Q

The terms between any two non-consecutive terms of an arithmetic sequence.

A

arithmetic means

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7
Q

He was able to sum up all counting numbers up to 100 within
seconds only

A

Carl Friedrich Gauss

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8
Q

formation of arithmetic series formula

A

denote the sum of the first n terms of
an arithmetic sequence

rewrite the sum in reverse order

Form equation 1 and 2

Add equation 1 and 2

combine like terms (a₁ + aₙ)

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9
Q

arithmetic series formulas:

A

Sn=(a₁ + aₙ)n/2

Sn=(a₁ + aₙ)/2

Sn=n[2a₁ + (n-1)d]/2

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10
Q

Is a list of numbers having a first number, a second number, a third number, and so on.

A

Number sequence

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11
Q

A sequence having a finite number of terms

A

Finite sequence

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12
Q

A sequence that has an infinite number of terms

A

Infinite sequence

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13
Q

The sum of the terms of a finite sequence is called a

A

Finite series

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14
Q

Finite series is denoted by

A

Sn=a1+a2+a3+…+an

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15
Q

Greek letter used to indicate a sum

A

Sigma

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16
Q

A sequence which consecutive terms have a common difference is an

A

Arithmetic Sequence

17
Q

Sum of the first n terms of an arithmetic sequence formula

A

Sn=n/2(a1+an)