What will be the fifth term in (64,57,50,43,\ldots)?
Answer and explanation
Correct answer: 36
The difference between consecutive terms is constant: \(57-64=-7\). Hence, this is an AP with common difference \(d=-7\). Since the fourth term is 43, the fifth term is \(43-7=36\). Option 37 would result from incorrectly using a common difference of \(-6\). Exam tip: To find the next term of an AP, add the common difference to the preceding term.
Frequently asked questions
What is the correct answer to this question?
36
Why is this the correct answer?
The difference between consecutive terms is constant: \(57-64=-7\). Hence, this is an AP with common difference \(d=-7\). Since the fourth term is 43, the fifth term is \(43-7=36\). Option 37 would result from incorrectly using a common difference of \(-6\). Exam tip: To find the next term of an AP, add the common difference to the preceding 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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