What will be the fifth term in (2,8,14,20,\ldots)?
Answer and explanation
Correct answer: 26
Each term in the given sequence is 6 greater than the previous term, so the common difference is 6. The fourth term is 20; therefore, the fifth term is 20 + 6 = 26. Choosing 24 is incorrect because it adds 4 to 20, whereas the required difference is 6. Exam tip: In an AP, find the difference between consecutive terms to obtain the next term quickly.
Frequently asked questions
What is the correct answer to this question?
26
Why is this the correct answer?
Each term in the given sequence is 6 greater than the previous term, so the common difference is 6. The fourth term is 20; therefore, the fifth term is 20 + 6 = 26. Choosing 24 is incorrect because it adds 4 to 20, whereas the required difference is 6. Exam tip: In an AP, find the difference between consecutive terms to obtain the next term quickly.
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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