If \(a_n=\frac{5n}{2}\), what is the value of \(a_6\)?
Answer and explanation
Correct answer: 15
Given \(a_n=\frac{5n}{2}\). To find the sixth term, substitute \(n=6\): \(a_6=\frac{5\times6}{2}=\frac{30}{2}=15\). Therefore, 15 is correct. A value such as 12 can result from substituting an incorrect value for \(n\). Exam tip: carefully substitute the term number into the general-term formula.
Frequently asked questions
What is the correct answer to this question?
15
Why is this the correct answer?
Given \(a_n=\frac{5n}{2}\). To find the sixth term, substitute \(n=6\): \(a_6=\frac{5\times6}{2}=\frac{30}{2}=15\). Therefore, 15 is correct. A value such as 12 can result from substituting an incorrect value for \(n\). Exam tip: carefully substitute the term number into the general-term formula.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Explicit or general rule.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
