If (a_6=38) and (d=5), what is the (13)th term?
Answer and explanation
Correct answer: 73
In an AP, to find a later term from a known term, multiply the common difference by the difference in term numbers. Thus, \(a_{13}=a_6+(13-6)d=38+7\times5=73\). Therefore, 73 is correct. Choosing 68 would add only 6 common differences, but there are 7 gaps from the 6th term to the 13th term. Exam tip: always subtract the term numbers to count the required common differences.
Frequently asked questions
What is the correct answer to this question?
73
Why is this the correct answer?
In an AP, to find a later term from a known term, multiply the common difference by the difference in term numbers. Thus, \(a_{13}=a_6+(13-6)d=38+7\times5=73\). Therefore, 73 is correct. Choosing 68 would add only 6 common differences, but there are 7 gaps from the 6th term to the 13th term. Exam tip: always subtract the term numbers to count the required 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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