For the arithmetic progression whose nth term is $a_n=7-3n$, which pair correctly gives its first term and common difference?

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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APHardLevel 66

For the arithmetic progression whose nth term is $a_n=7-3n$, which pair correctly gives its first term and common difference?

Answer and explanation

Correct answer: First term 4 and common difference -3

Putting $n=1$ gives $a_1=7-3=4$. In $a_n=a+(n-1)d$, the coefficient of $n$ is the common difference, so $d=-3$. Exam tip: always verify the first term by substituting $n=1$.

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What is the correct answer to this question?

First term 4 and common difference -3

Why is this the correct answer?

Putting $n=1$ gives $a_1=7-3=4$. In $a_n=a+(n-1)d$, the coefficient of $n$ is the common difference, so $d=-3$. Exam tip: always verify the first term by substituting $n=1$.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.

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For the arithmetic progression whose nth term is \(a_n=7-3n\), which pair correctly gives its first term and common difference?

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For the arithmetic progression whose nth term is \(a_n=7-3n\), which pair correctly gives its first term and common difference?

Answer and explanation

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