What is the common difference of (0.2, 0.02, −0.16, −0.34, …)?
Answer and explanation
Correct answer: −0.18
The common difference is obtained by subtracting a term from the following term. Using the first two terms, d = 0.02 − 0.20 = −0.18. The next subtraction confirms the pattern: −0.16 − 0.02 = −0.18, and −0.34 − (−0.16) = −0.18. Therefore the sequence is an AP with common difference −0.18, so option A is correct. The negative sign means that the terms decrease by 0.18 each time. Option B has the wrong sign, option C results from an incorrect decimal subtraction, and option D is merely one of the terms rather than the change between terms.
Frequently asked questions
What is the correct answer to this question?
−0.18
Why is this the correct answer?
The common difference is obtained by subtracting a term from the following term. Using the first two terms, d = 0.02 − 0.20 = −0.18. The next subtraction confirms the pattern: −0.16 − 0.02 = −0.18, and −0.34 − (−0.16) = −0.18. Therefore the sequence is an AP with common difference −0.18, so option A is correct. The negative sign means that the terms decrease by 0.18 each time. Option B has the wrong sign, option C results from an incorrect decimal subtraction, and option D is merely one of the terms rather than the change between terms.
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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