SOLUTION: The sum of the first ten terms of a particular arithmetic sequence is four times the sum of the first five terms of the sequence. What is the ratio of the first term to the second
Algebra.Com
Question 1069817: The sum of the first ten terms of a particular arithmetic sequence is four times the sum of the first five terms of the sequence. What is the ratio of the first term to the second term? Express your answer as a common fraction.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= the first term,
= the common difference, and
= the second term.
The sum of the first 5 terms is
.
The sum of the first 10 terms is
.
The problem says that
The ratio of the first term to the second term is
==== .
RELATED QUESTIONS
The first term of an arithmetic sequence is 5. The ratio of the sum of the first four... (answered by Edwin McCravy)
the 15th term in an arithmetic sequence is 129 and the sum of the first fifteen terms is... (answered by josgarithmetic,greenestamps)
Find the sum of the first twenty terms of the arithmetic sequence given that the tenth... (answered by Fombitz)
An Arithmetic Sequence has ten terms. The sum of the first three terms is 18 while the... (answered by ikleyn)
What is the sum of the first 50 terms of the arithmetic sequence... (answered by Maths68)
The sum of the first three terms of a geometric sequence of integers is equal to seven... (answered by greenestamps,Edwin McCravy,math_tutor2020)
An arithmetic sequence of 15 terms has a sum of 3060. The common difference and each... (answered by greenestamps)
In an arithmetic progression, the sum of the first ten terms is 50 and the 5th term is... (answered by MathTherapy)
In an arithmetic progression, the sum of the first ten terms is 50 and the 5th term is... (answered by MathLover1,MathTherapy)