SOLUTION: Find the 110th term of the sequence -7, 3, 13, 23 A) 1,083 B) -1,097 C) 1,093 D) 40 By logic, I can already rule out B and D but am not sure how to figure out the an

Algebra ->  Sequences-and-series -> SOLUTION: Find the 110th term of the sequence -7, 3, 13, 23 A) 1,083 B) -1,097 C) 1,093 D) 40 By logic, I can already rule out B and D but am not sure how to figure out the an      Log On


   



Question 1117244: Find the 110th term of the sequence -7, 3, 13, 23
A) 1,083
B) -1,097
C) 1,093
D) 40
By logic, I can already rule out B and D but am not sure how to figure out the answer between A and C.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Arithmetic progression with the first term  -7  and the common difference of  d = (3-(-7)) = 10.


The n-th term is  a%5Bn%5D = a%5B1%5D + d*(n-1).


In your case  a%5Bn%5D = -7 + 10*(n-1).       (1)


To find  a%5B110%5D,  substitute  n= 110 into the formula (1) and calculate.

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For introductory lessons on arithmetic progressions see
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.