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ARITHMETIC SEQUENCEHELP PLEASE!!!











































Is the sequence an=2n−11 arithmetic?
Your answer is (input yes or no) ;
if your answer is yes,
its first term is .
its common difference is

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Apr 18, 2011
Identify Arithmetic Sequence
by: Staff


The question:

Is the sequence an=2n−11 arithmetic?


Your answer is (input yes or no) ;
if your answer is yes,
its first term is .
its common difference is


The answer:

Is the sequence an=2n−11 arithmetic?

Yes, this sequence is arithmetic. (The sequence is a linear sequence.)

The first term in your sequence is: 2*1-11 = -9
The second term in your sequence is: 2*2-11 = -7
The third term in your sequence is: 2*3-11 = -5
The fourth term in your sequence is: 2*4-11 = -3

d = difference between consecutive terms = +2


An arithmetic sequence has the (general) form:

a_n = a_1 + (n - 1) * (d)


a_n = a with a subscript of n (this is the nth term in the series)

a_1 = a with a subscript of 1 (this is the 1st term in the series)

(for your problem, a_1 = -9)

n = number of terms

d = difference between consecutive terms
(for your problem, d = +2)


Deriving the sequence for your problem from the general form of the arithmetic sequence

a_n = a_1 + (n - 1) * (d)

a_n = -9 + (n - 1)*(2)

a_n = -9 + 2n - 2

a_n = 2n – 11; this is the same sequence given in your statement of the problem



Thanks for writing.


Staff
www.solving-math-problems.com


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