give me answer of 4 sequence in real life situation arithmetic sequence geometric sequence harmonic sequence Fibonacci sequence and 2 example each
Answer (1)
Answer:1. Arithmetic SequenceA sequence where each term increases or decreases by the same fixed number (common difference).Examples in real life:Daily savings – If you save ₱50 on the first day, then add ₱50 more each day (₱50, ₱100, ₱150, ₱200 …).Seating arrangement in a theater – If Row 1 has 20 seats, Row 2 has 25, Row 3 has 30, etc. (+5 seats each time).2. Geometric SequenceA sequence where each term is multiplied or divided by the same number (common ratio).Examples in real life:Population growth – If a population doubles every year (100, 200, 400, 800 …).Bank interest/compound interest – If ₱1,000 grows 10% each year (1000, 1100, 1210, 1331 …).3. Harmonic SequenceA sequence where the reciprocals of the terms form an arithmetic sequence. Often appears in rates and speeds.Examples in real life:Musical strings – The frequencies of notes played on a string instrument follow a harmonic sequence.Work rate problems – If one worker completes 1/2 of a job per day, another 1/3, and another 1/4, their combined rates use harmonic sequences.4. Fibonacci Sequence A sequence where each term is the sum of the two previous ones (1, 1, 2, 3, 5, 8, 13 …).Examples in real life:Flower petals – Many flowers (like daisies or sunflowers) have petals in Fibonacci numbers.Rabbit population growth – The classic Fibonacci problem of rabbit pairs reproducing over months.Step-by-step explanation:in summary:Arithmetic → adding/subtracting (money, seats).Geometric → multiplying/dividing (population, interest).Harmonic → rates, frequencies (music, work).Fibonacci → nature patterns (flowers, reproduction).
