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ARITHMETIC SEQUENCE2 HELP!!!











































For the sequence an=2−5(n−1),
its first term is ;
its second term is ;
its third term is ;
its fourth term is ;
its fifth term is ;
its common difference d= .

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Apr 18, 2011
Arithmetic Sequence 2 ā€“ nth term
by: Staff


The question:

For the sequence an=2−5(n−1),
its first term is ;
its second term is ;
its third term is ;
its fourth term is ;
its fifth term is ;
its common difference d= .


The answer:


An arithmetic sequence has the 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)

n = number of terms

d = difference between consecutive terms


Computing terms in the sequence for your problem

a_n = 2 - 5(n - 1)

its first term is (n = 1):

a_1 = 2 - 5(1 - 1) = 2 - 5*0 = 2

its second term is (n = 2):

a_2 = 2 - 5(2 - 1) = 2 - 5*1 = -3


its third term is (n = 3):

a_3 = 2 - 5(3 - 1) = 2 - 5*2 = -8

its fourth term is (n = 4):

a_4 = 2 - 5(4 - 1) = 2 - 5*3 = -13


its fifth term is (n = 5):

a_5 = 2 - 5(5 - 1) = 2 - 5*4 = -18



its common difference d = -5.



Thanks for writing.


Staff
www.solving-math-problems.com


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