1st Qtr: Patterns, Arithmetic Sequence, Series, Means Flashcards
Refer to usual types of procedures
Sequence, order, repetition
Patterns
Arrangements of numbers or objects
Sequence
Are the numbers or objects in the sequence
Terms
General form
(First difference is constant)
an + b = a↓n
General form
(When first difference is NOT constant)
an² + bn + c = a↓n
The terms between any two non-consecutive terms of an arithmetic sequence.
arithmetic means
He was able to sum up all counting numbers up to 100 within
seconds only
Carl Friedrich Gauss
formation of arithmetic series formula
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)
arithmetic series formulas:
Sn=(a₁ + aₙ)n/2
Sn=(a₁ + aₙ)/2
Sn=n[2a₁ + (n-1)d]/2
Is a list of numbers having a first number, a second number, a third number, and so on.
Number sequence
A sequence having a finite number of terms
Finite sequence
A sequence that has an infinite number of terms
Infinite sequence
The sum of the terms of a finite sequence is called a
Finite series
Finite series is denoted by
Sn=a1+a2+a3+…+an
Greek letter used to indicate a sum
Sigma