A community for students.
Here's the question you clicked on:
 0 viewing
kenneyfamily
 3 years ago
What is the difference between an arithmetic and geometric sequence?
kenneyfamily
 3 years ago
What is the difference between an arithmetic and geometric sequence?

This Question is Closed

Rohangrr
 3 years ago
Best ResponseYou've already chosen the best response.3Arithmetic formula: \[ t_n = t_1 + (n  1)d \] \[t_n \] is the nth term, \[t_1 \] is the first term, and d is the common difference

Rohangrr
 3 years ago
Best ResponseYou've already chosen the best response.3Geometric formula: \[ t_n = t_1 . r^(n  1) \] \[t_n \] is the nth term, \[t_1 \] is the first term, and r is the common ratio.

Rohangrr
 3 years ago
Best ResponseYou've already chosen the best response.3Did you get the concept @kenneyfamily

shruti
 3 years ago
Best ResponseYou've already chosen the best response.1Arithmetic sequences have a constant difference between terms: 1, 3, 5, 7,... The difference between successive terms is 2. The general formula for the nth term is a(n) = a(1) + d·(n1) where a(1) = the initial term , d = difference between terms. So to find the 5th term (which we can see in the sequence should be 9), we plug in n = 5 a(5) = 1 + 2·(51) = 1+2·4 = 9 WHEREAS Geometric sequences have a constant ratio between terms: 2, 6, 18, 54, ... The ratio between successive terms is 3. The general formula for the nth term is a(n) = a(1)·r^(n1), where a(1) is the first term and r is the ratio. So to find the 5th term (which we can see in the sequence should be 162), we plug in n = 5 EXAMPLE.. a(5) = 2·3^(51) = 2·3^4 = 2·81 = 162

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1arithmetic sequence is a sequence of numbers such tht the difference of two condegutive numbers is a constantdw:1341738867627:dw geometirc sequence is a sequence of numbers such tht the quotient between two consegutive numbers is a constantdw:1341739044301:dw

Rohangrr
 3 years ago
Best ResponseYou've already chosen the best response.3if more Arithmetic sequences have a constant difference between terms: 1, 3, 5, 7,... The difference between successive terms is 2. The general formula for the nth term is a(n) = a(1) + d·(n1) where a(1) = the initial term, d = difference between terms. So to find the 5th term (which we can see in the sequence should be 9), we plug in n = 5 a(5) = 1 + 2·(51) = 1+2·4 = 9 Geometric sequences have a constant ratio between terms: 2, 6, 18, 54, ... The ratio between successive terms is 3. The general formula for the nth term is a(n) = a(1)·r^(n1), where a(1) is the first term and r is the ratio. So to find the 5th term (which we can see in the sequence should be 162), we plug in n = 5 a(5) = 2·3^(51) = 2·3^4 = 2·81 = 162

kenneyfamily
 3 years ago
Best ResponseYou've already chosen the best response.0AWESOME GUYS...THANK YOU SO MUCH!!! :)

angela210793
 3 years ago
Best ResponseYou've already chosen the best response.1did u guys copy=pasted the same thing O.o

TransendentialPI
 3 years ago
Best ResponseYou've already chosen the best response.0Two videos worth watching: http://patrickjmt.com/quickintrotoarithmeticsequences/ http://patrickjmt.com/aquickintrotogeometricsequences/
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.