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

AI Thread Summary
The discussion revolves around finding the common difference of an arithmetic progression (a.p.) with a first term of -8 and a ratio of the 7th term to the 9th term as 5:8. Participants emphasize the importance of showing attempts at solutions for better assistance. The formula for the nth term of an a.p. is mentioned as tn = a + (n – 1)d, but the user struggles with its application. The thread was ultimately locked due to insufficient effort shown in the initial query. Clear guidance on how to approach the problem is needed for further progress.
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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