If (a_1=16) and (a_2=10), what will be the common difference (d)?
Answer and explanation
Correct answer: -6
In an arithmetic progression, the common difference is found by subtracting the first term from the second term: d = a₂ − a₁ = 10 − 16 = −6. Therefore, option C is correct. Option B gives only the magnitude, 6, and misses the negative sign. Exam tip: when the next term is smaller than the previous term, the common difference is negative.
Frequently asked questions
What is the correct answer to this question?
-6
Why is this the correct answer?
In an arithmetic progression, the common difference is found by subtracting the first term from the second term: d = a₂ − a₁ = 10 − 16 = −6. Therefore, option C is correct. Option B gives only the magnitude, 6, and misses the negative sign. Exam tip: when the next term is smaller than the previous term, the common difference is negative.
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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