What is the next term in the arithmetic progression (4,4.5,5,5.5,\ldots)?
Answer and explanation
Correct answer: 6
The difference between consecutive terms is constant: 4.5−4=0.5, 5−4.5=0.5, and 5.5−5=0.5. Thus, the common difference is 0.5, so the next term is 5.5+0.5=6. Option A is incorrect because it adds only 0.25. In an exam, first find the common difference and then add it to the last given term.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The difference between consecutive terms is constant: 4.5−4=0.5, 5−4.5=0.5, and 5.5−5=0.5. Thus, the common difference is 0.5, so the next term is 5.5+0.5=6. Option A is incorrect because it adds only 0.25. In an exam, first find the common difference and then add it to the last given 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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