The AP of multiples of 8 greater than 300 is 304, 312, 320, … . What is its 25th term?
Answer and explanation
Correct answer: 496
This is an nth-term problem in an arithmetic progression. The first listed term is a₁ = 304 and the common difference is d = 312 − 304 = 8. The nth-term formula is aₙ = a₁ + (n − 1)d, because the first term has zero increments. Thus a₂₅ = 304 + (25 − 1)8 = 304 + 24 × 8 = 304 + 192 = 496. Hence option A is correct. The number 304 is used, not 300, because the question asks for multiples of 8 greater than 300; 300 itself is not allowed and the first valid multiple is 304. The other values result from using the wrong starting term or number of steps.
Frequently asked questions
What is the correct answer to this question?
496
Why is this the correct answer?
This is an nth-term problem in an arithmetic progression. The first listed term is a₁ = 304 and the common difference is d = 312 − 304 = 8. The nth-term formula is aₙ = a₁ + (n − 1)d, because the first term has zero increments. Thus a₂₅ = 304 + (25 − 1)8 = 304 + 24 × 8 = 304 + 192 = 496. Hence option A is correct. The number 304 is used, not 300, because the question asks for multiples of 8 greater than 300; 300 itself is not allowed and the first valid multiple is 304. The other values result from using the wrong starting term or number of steps.
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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