If the (3)rd term of an AP is (8) and the (8)th term is (3), what is the (11)th term?
Answer and explanation
Correct answer: 0
Given \(a_3=8\) and \(a_8=3\), we have \(a_8-a_3=5d\). Thus, \(3-8=5d\), so \(d=-1\). Now \(a_{11}=a_8+3d=3+3(-1)=0\). Hence, 0 is the correct answer. Option 1 is the value of \(a_{10}\), obtained by counting one term less. Exam tip: When using two known terms of an AP, take the difference of their term numbers to find the number of common differences.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
Given \(a_3=8\) and \(a_8=3\), we have \(a_8-a_3=5d\). Thus, \(3-8=5d\), so \(d=-1\). Now \(a_{11}=a_8+3d=3+3(-1)=0\). Hence, 0 is the correct answer. Option 1 is the value of \(a_{10}\), obtained by counting one term less. Exam tip: When using two known terms of an AP, take the difference of their term numbers to find the number of common differences.
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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