AboutSteve Holleran Expertise I can help with all math questions from basic math to Calculus.
Whether it`s consumer questions, or questions from high school or college students, I have probably dealt with it at some time in my career.
Experience 33 years teaching experience in NJ public schools
Education/Credentials B.S. Mathematics : Wake Forest University 1972
M.S. Mathematics : Monmouth University 1981
Expert: Steve Holleran Date: 5/29/2008 Subject: Sequences
Question Hi, I need help with this question, Find an arithmetic sequence with first term 1, common difference not equal to zero, and second, tenth and thirty-fourth terms are the first three terms of a geometric sequence.
Answer Hi Patrick,
Okay, here's what I see:
You have an arithmetic sequence that looks like :
1 , 1+d, 1+2d, ...
The nth term is 1 + (n-1)d, so term 10 is 1 + 9d
and term 34 is 1 + 33d.
Now, if these are the first three terms in a geometric sequence,
the geom seq looks like :
1+d , 1+9d, 1+33d, ...
Geometric sequences have to have a common ratio, which is found by dividing any term by the previous term. So, for the common ratio to be the same, we have to have
