If (a=40) and (d=-6), what is the (5)th term of the AP?
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Answer and explanation
Correct answer: 16
The nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_5=40+(5-1)(-6)=40-24=16\). Hence, the correct answer is 16. Getting 20 would mean subtracting the common difference only three times. Exam tip: always use \((n-1)\) common differences for the nth term.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Thus, \(a_5=40+(5-1)(-6)=40-24=16\). Hence, the correct answer is 16. Getting 20 would mean subtracting the common difference only three times. Exam tip: always use \((n-1)\) common differences for the nth term.
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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