In the arithmetic progression (24,19,14,9,\ldots), which term is (-11)?
Answer and explanation
Correct answer: Eighth term
Here, the first term is \(a=24\) and the common difference is \(d=19-24=-5\). Using \(a_n=a+(n-1)d\), we get \(24+(n-1)(-5)=-11\). Thus, \(29-5n=-11\), which gives \(n=8\). Therefore, \((-11)\) is the eighth term. The seventh term is \((-6)\), so it is a close but incorrect option. Exam tip: In a decreasing AP, make sure to use a negative common difference.
Frequently asked questions
What is the correct answer to this question?
Eighth term
Why is this the correct answer?
Here, the first term is \(a=24\) and the common difference is \(d=19-24=-5\). Using \(a_n=a+(n-1)d\), we get \(24+(n-1)(-5)=-11\). Thus, \(29-5n=-11\), which gives \(n=8\). Therefore, \((-11)\) is the eighth term. The seventh term is \((-6)\), so it is a close but incorrect option. Exam tip: In a decreasing AP, make sure to use a negative common difference.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.
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