SOLUTION: If the given terms are part of an arithmetic sequence, write a rule for the sequence, then find a9 a1=1/2 and a23= 6

Algebra ->  Sequences-and-series -> SOLUTION: If the given terms are part of an arithmetic sequence, write a rule for the sequence, then find a9 a1=1/2 and a23= 6      Log On


   

Question 1121697: If the given terms are part of an arithmetic sequence, write a rule for the sequence, then find a9
a1=1/2 and a23= 6
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28Arithmetic_Sequence%2Ca%5B1%5D=1%2F2%2Ca%5B23%5D=6%29

Find rule and find a%5B9%5D.


There are twenty-two common differences between term 1 and term 23.
%286-1%2F2%29%2F22

%285%261%2F2%29%2F22

%2811%2F2%29%2F22

1%2F4

Common Difference is 1%2F4.

RULE: highlight%281%2F2%2B%281%2F4%29%28n-1%29%29

You can use the rule with n=9 to find term number 9.