In the AP (310,291,272,\ldots), what is the first term less than (75)?
Answer and explanation
Correct answer: 63
For this AP, the first term is 310 and the common difference is \(d=291-310=-19\). Thus, each successive term decreases by 19. The term after 82 is \(82-19=63\). Since 82 is greater than 75 while 63 is less than 75, 63 is the first term below 75. Although 44 and 25 are also less than 75, they occur after 63. Exam tip: In a decreasing AP, compare the terms immediately on either side of the given boundary.
Frequently asked questions
What is the correct answer to this question?
63
Why is this the correct answer?
For this AP, the first term is 310 and the common difference is \(d=291-310=-19\). Thus, each successive term decreases by 19. The term after 82 is \(82-19=63\). Since 82 is greater than 75 while 63 is less than 75, 63 is the first term below 75. Although 44 and 25 are also less than 75, they occur after 63. Exam tip: In a decreasing AP, compare the terms immediately on either side of the given boundary.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.
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