If (a=18) and (d=-7), what is the (6)th term?
Answer and explanation
Correct answer: \(-17\)
The nth term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_6=18+(6-1)(-7)=18-35=-17\). Hence, \(-17\) is correct. An option such as \(-15\) may result from an error in multiplication or subtraction. Exam tip: When \(d\) is negative, keep it in brackets while substituting in the formula.
Frequently asked questions
What is the correct answer to this question?
\(-17\)
Why is this the correct answer?
The nth term of an AP is \(a_n=a+(n-1)d\). Therefore, \(a_6=18+(6-1)(-7)=18-35=-17\). Hence, \(-17\) is correct. An option such as \(-15\) may result from an error in multiplication or subtraction. Exam tip: When \(d\) is negative, keep it in brackets while substituting in the formula.
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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