A student learns (10) words on the first day and (5) more words each next day. How many words will he learn on the (8)th day?
Answer and explanation
Correct answer: 45
The daily number of words forms an arithmetic progression with first term \(a=10\) and common difference \(d=5\). On the \(8\)th day, \(a_8=a+(8-1)d=10+7\times5=45\). Option 40 counts only 6 increases, whereas reaching the 8th term requires 7 increases. Exam tip: use \(a_n=a+(n-1)d\) for the \(n\)th term of an AP.
Frequently asked questions
What is the correct answer to this question?
45
Why is this the correct answer?
The daily number of words forms an arithmetic progression with first term \(a=10\) and common difference \(d=5\). On the \(8\)th day, \(a_8=a+(8-1)d=10+7\times5=45\). Option 40 counts only 6 increases, whereas reaching the 8th term requires 7 increases. Exam tip: use \(a_n=a+(n-1)d\) for the \(n\)th term of an AP.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
