Different Sequences, Formulas And Givens Flashcards
(26 cards)
list of numbers having first number, a second number, a third number and so on.
Number sequence
a sequence having limited number of terms
Finite sequence
A sequence that has an unlimited number of terms
Infinite sequence
He is the founder of the pythagorean brotherhood and creator of pythagorean theorem
Pythagoras
Each number in a sequence is called a _____.
Term
A sequence that has consecutive numbers with a common difference
Arithmetic sequence
set of numbers in a specific order
Sequence
It is denoted by (d) which is the difference between consecutive terms of an arithmetic progression?
common difference
A special type of sequence where the ratio of every two successive terms is a constant.
Geometric Sequence
The sum of the first n terms of an arithmetic sequence
Arithmetic series
The sum of geometric sequence.
Geometric series
It is denoted by (n)
Number of terms
It is denoted by (a₁)
First term
It is denoted by (aₙ)
nth term of the sequence
the sum of first nth term is denoted by
(Sₙ)
Formula for Arithmetic Sequence
aₙ = a₁ + (n - 1)d
Formula for Geometric Sequence
aₙ = a₁ (r)ⁿ⁻¹
we can get the common difference by…
2nd term - 1st term
we can get the common ratio by…
2nd term over 1st term
Arithmetic series formula
Sₙ = n/2 (a₁ + aₙ)
Geometric series formula
Sₙ = a₁ (1 - rⁿ)
——————
1 - r
Formula that is used to calculate any terms in a sequence
General term
5, 7, 9, 11, 13, 15…
Is an example of what sequence
Arithemetic sequence
8, 16, 32 , 64…
Is an example of what sequence
Geometric sequence
