Скачать или смотреть SEQUENCE & SERIES -7 (GEOMETRIC PROGRESSION - 3)

A sequence is an ordered list of numbers that follow a specific rule or pattern.
Each number in the sequence is called a term.
• Example:
2,4,6,8,10,… (Even numbers)
Rule: an=2na , where n=1,2,3,…
• 👉 In general, a sequence is written as:
,a_1, a_2, a_3, ........... a_n
2. Series
A series is the sum of the terms of a sequence.
• If you take the sequence 2,4,6,8- ------- -- -- the series is:
2+4+6+8+. ……..
3. Types of Sequences and Series
(i) Arithmetic Sequence (AP)
Difference between consecutive terms is constant.
Example: 3,6,9,12, …
(ii) Geometric Sequence (GP)
• Each term is obtained by multiplying the previous term by a constant ratio rrr.
Example: 2,4,8,16, …
(iii) Harmonic Sequence (HP)
• If reciprocals of terms form an Arithmetic Progression.
#sequences_and_series #geometric_progression #progression #sequences #Geometric_Mean. #sum_of_GP