Register to reply

Finding the general expression of the nth term

by superconduct
Tags: expression, term
Share this thread:
superconduct
#1
Jul6-12, 08:54 AM
P: 21
1. The problem statement, all variables and given/known data
Given successive terms of numbers starting from the 1st term:
11, 21, 35, 53, 75, 101,...
What is the general expression of the nth term? where n is positive integer

2. Relevant equations
/


3. The attempt at a solution
Can't find a good attempt.
Phys.Org News Partner Science news on Phys.org
Bees able to spot which flowers offer best rewards before landing
Classic Lewis Carroll character inspires new ecological model
When cooperation counts: Researchers find sperm benefit from grouping together in mice
micromass
#2
Jul6-12, 09:02 AM
Mentor
micromass's Avatar
P: 18,083
Could this be an arithmetic or geometric sequence??
Curious3141
#3
Jul6-12, 09:05 AM
HW Helper
Curious3141's Avatar
P: 2,943
Quote Quote by superconduct View Post
1. The problem statement, all variables and given/known data
Given successive terms of numbers starting from the 1st term:
11, 21, 35, 53, 75, 101,...
What is the general expression of the nth term? where n is positive integer

2. Relevant equations
/


3. The attempt at a solution
Can't find a good attempt.
Form a new sequence from the differences between successive terms.

superconduct
#4
Jul6-12, 09:15 AM
P: 21
Finding the general expression of the nth term

sorry I don't know...

how will you determine a general expression for it in this problem without trial and error?

is it like finding a needle in the ocean?
jedishrfu
#5
Jul6-12, 10:07 AM
P: 2,812
look at the terms, then form a sequences of differences and what do you get?

10 , 14, 18, 22, 26 ...

look at the differences as a sequence and what do you see?

write an expression to generate the differences sequence

term(n)= term(0) + 4*(n-1) where n=1, 2, 3, 4...

then write an expression to generate your sequence using the differences expression

TERM(n) = TERM(0) + ...
wiraimperia
#6
Jul6-12, 10:32 AM
P: 9
Ouw... I think you can use the Sn to calculate the Un...


Register to reply

Related Discussions
What is the condition for the radiation term in the expression for the field B to... Advanced Physics Homework 0
Need help finding the propriate term! Electrical Engineering 2
Method for finding the general term of a sequence Calculus & Beyond Homework 13
Finding the General Term of a Sequence General Math 14
Finding the nth term,,.. .. Calculus & Beyond Homework 20