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Finding the general expression of the nth term

by superconduct
Tags: expression, term
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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.
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micromass
#2
Jul6-12, 09:02 AM
Mentor
micromass's Avatar
P: 18,018
Could this be an arithmetic or geometric sequence??
Curious3141
#3
Jul6-12, 09:05 AM
HW Helper
Curious3141's Avatar
P: 2,940
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: 2,760
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...


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