What will be the 35th term of the AP −17, −15/2, 2, ...?
Answer and explanation
Correct answer: 306
First determine the common difference: d = −15/2 − (−17) = −15/2 + 34/2 = 19/2. The next difference confirms this, since 2 − (−15/2) = 4/2 + 15/2 = 19/2. For an AP, aₙ = a₁ + (n − 1)d. Hence a₃₅ = −17 + 34 × 19/2 = −17 + 17 × 19 = −17 + 323 = 306. Therefore option C is correct. The original listed key and options did not contain 306, so option C has been corrected to make the question valid and unambiguous. The other numerical choices do not satisfy the AP formula.
Frequently asked questions
What is the correct answer to this question?
306
Why is this the correct answer?
First determine the common difference: d = −15/2 − (−17) = −15/2 + 34/2 = 19/2. The next difference confirms this, since 2 − (−15/2) = 4/2 + 15/2 = 19/2. For an AP, aₙ = a₁ + (n − 1)d. Hence a₃₅ = −17 + 34 × 19/2 = −17 + 17 × 19 = −17 + 323 = 306. Therefore option C is correct. The original listed key and options did not contain 306, so option C has been corrected to make the question valid and unambiguous. The other numerical choices do not satisfy the AP formula.
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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