Different Sequences, Formulas And Givens Flashcards

1
Q

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

A

Number sequence

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2
Q

a sequence having limited number of terms

A

Finite sequence

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3
Q

A sequence that has an unlimited number of terms

A

Infinite sequence

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4
Q

He is the founder of the pythagorean brotherhood and creator of pythagorean theorem

A

Pythagoras

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5
Q

Each number in a sequence is called a _____.

A

Term

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6
Q

A sequence that has consecutive numbers with a common difference

A

Arithmetic sequence

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7
Q

set of numbers in a specific order

A

Sequence

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8
Q

It is denoted by (d) which is the difference between consecutive terms of an arithmetic progression?

A

common difference

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9
Q

A special type of sequence where the ratio of every two successive terms is a constant.

A

Geometric Sequence

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10
Q

The sum of the first n terms of an arithmetic sequence

A

Arithmetic series

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11
Q

The sum of geometric sequence.

A

Geometric series

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12
Q

It is denoted by (n)

A

Number of terms

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13
Q

It is denoted by (a₁)

A

First term

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14
Q

It is denoted by (aₙ)

A

nth term of the sequence

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15
Q

the sum of first nth term is denoted by

A

(Sₙ)

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16
Q

Formula for Arithmetic Sequence

A

aₙ = a₁ + (n - 1)d

17
Q

Formula for Geometric Sequence

A

aₙ = a₁ (r)ⁿ⁻¹

18
Q

we can get the common difference by…

A

2nd term - 1st term

19
Q

we can get the common ratio by…

A

2nd term over 1st term

20
Q

Arithmetic series formula

A

Sₙ = n/2 (a₁ + aₙ)

21
Q

Geometric series formula

A

Sₙ = a₁ (1 - rⁿ)
——————
1 - r

22
Q

Formula that is used to calculate any terms in a sequence

A

General term

23
Q

5, 7, 9, 11, 13, 15…
Is an example of what sequence

A

Arithemetic sequence

24
Q

8, 16, 32 , 64…
Is an example of what sequence

A

Geometric sequence

25
Q

5,5,5,5,5,5,5…
Is an example of what sequence?

A

Constant sequence

26
Q

A sequence with a common difference of 0 and common ratio of 1

A

Constant sequence