Arithmetic Progression: Find Common Difference with Given First Term and Ratio

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Homework Help Overview

The problem involves finding the common difference of an arithmetic progression (a.p.) given the first term and the ratio of the 7th term to the 9th term.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the general formula for the nth term of an arithmetic progression and express confusion about applying it to the given ratio of terms.

Discussion Status

The discussion includes attempts to clarify the formula for the nth term and how to use it in the context of the problem. Some participants have noted the need for more effort in presenting their attempts at a solution.

Contextual Notes

There is a requirement for participants to show their attempts at a solution, which has impacted the progression of the discussion.

osirvics
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Homework Statement


The first term of an a.p is -8, the ratio of the 7th term to the 9th term is 5:8. what is the common difference of the progression?

Homework Equations

The Attempt at a Solution


I've tried... it confuses me. Can anyone give me some hints or tips...?
 
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osirvics said:

Homework Statement


The first term of an a.p is -8, the ratio of the 7th term to the 9th term is 5:8. what is the common difference of the progression?

Homework Equations

The Attempt at a Solution


I've tried... it confuses me. Can anyone give me some hints or tips...?
Hello osirvics. Welcome to PF !

In the future, you need to show your attempt at a solution.

Do you know a general formula for the nth term in an arithmetic progression ? What is that formula?
 
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Okay, thanks.
Yes, tn = a + (n – 1) d.
but i don't know how to implement it. this statement "the ratio of the 7th term to the 9th term is 5:8" is confusing me.
 
Thread has been locked for your not showing any effort. Please start a new thread and fill out your Attempt at a Solution part of the HH Template. Thank you.
 
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