If (4,10,16,r,\ldots) is an arithmetic progression, what will (r) be?
Answer and explanation
Correct answer: 22
In an arithmetic progression, the difference between consecutive terms is constant. Here, 10 - 4 = 6 and 16 - 10 = 6, so the common difference is 6. Therefore, r = 16 + 6 = 22. Choosing 23 would give a difference of 7, which does not maintain the common difference. Exam tip: Find the difference between consecutive terms first, then add it to obtain the next term.
Frequently asked questions
What is the correct answer to this question?
22
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms is constant. Here, 10 - 4 = 6 and 16 - 10 = 6, so the common difference is 6. Therefore, r = 16 + 6 = 22. Choosing 23 would give a difference of 7, which does not maintain the common difference. Exam tip: Find the difference between consecutive terms first, then add it to obtain the next term.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Introduction to APs and common difference..
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