If the arithmetic progression is (a,a+2,a+4,a+6,\ldots), what is the common difference?
Answer and explanation
Correct answer: (2)
In an arithmetic progression, subtract one term from the next to obtain the constant difference. Using the first two terms, d=(a+2)−a=2. The next checks give (a+4)−(a+2)=2 and (a+6)−(a+4)=2, confirming that the difference is constant. Therefore option C is correct; a and 2a are expressions involving the first term, not the term-to-term increase.
Frequently asked questions
What is the correct answer to this question?
(2)
Why is this the correct answer?
In an arithmetic progression, subtract one term from the next to obtain the constant difference. Using the first two terms, d=(a+2)−a=2. The next checks give (a+4)−(a+2)=2 and (a+6)−(a+4)=2, confirming that the difference is constant. Therefore option C is correct; a and 2a are expressions involving the first term, not the term-to-term increase.
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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