The product of the third and the sixth terms of an arithmetic sequence is 406. The ninth term of the sequence divided by the fourth term gives a quotient of 2 and a remainder of 6. Find the first term and the common difference of the arithmetic sequence

The product of the third and the sixth terms of an arithmetic sequence is 406. The ninth term of the sequence divided by the fourth term gives a quotient of 2 and a remainder of 6. Find the first term and the common difference of the arithmetic sequence

Name: 4.The product of the third and the sixth terms of an arithmetic sequen
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 4.The product of the third and the sixth terms of an arithmetic sequence is 406. Theninth term of the sequence divided by the fourth term gives a quotient of 2 and aremainder of 6. Find the first term and the common difference of the arithmeticsequen

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section: Chapter Questions

Problem 327PT: Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference...

See similar textbooks

Similar questions

For which terms does the finite arithmetic sequence {52,198,94,...,18} have integer va1ues?
For which term does the geometric sequence an=36(23)n1 first have a non-integer value?
Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.
Find the sum of the first five terms of the sequence with the given general term. an=4n2
What is the 11thterm of the geometric sequence 1.5,3,6,12,... ?
How many terms are in the finite arithmetic sequence 12,20,28,...,172 ?
What happens to the terms an of a sequence when there is a negative factor in the formula that is raised to a power that includes n? What is the term used to describe this phenomenon?
The 8th term of an arithmetic sequence is 25, and the 12th term is 41. Write the first 11 terms of this sequence.
The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the eighth term. (Assume that the terms of the sequence are positive.)
Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose first term is 1
The 5th term of an arithmetic sequence is 45, and the 12th term is 24. Find the nth term.
Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference is three. Then find a formula for the general term.