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Arithmetic Sequence - how do i solve this problem










































n = the number of terms altogether n = 10
d = the common difference d = 25
a1 = the first term a1 = 100
an = the last term an = a9

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May 12, 2012
Arithmetic Sequence (Arithmetic Progression)
by: Staff


Question:

n = the number of terms altogether n = 10
d = the common difference d = 25
a1 = the first term a1 = 100
an = the last term an = a9



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


Applying the notation to your problem

a_1 = the first term = 100

d = the common difference = 25

n = number of terms =10



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

a_10 = 100 + (10 - 1) * (25)

a_10 = 100 + (9) * (25)

a_10 = 100 + 225

a_10 = 325


>>> the final answer is:

a_10 (the last term in the sequence) = 325








Thanks for writing.

Staff
www.solving-math-problems.com



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