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Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APEasyLevel 66
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If (a_3=16) and (d=7), what is the (8)th term?

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Answer and explanation

Correct answer: 51

In an AP, there are 5 steps from the third term to the eighth term. Thus, \(a_8=a_3+(8-3)d=16+5\times7=51\). Therefore, the correct answer is 51. Choosing 49 would mean that the common difference has not been added the correct number of times. Exam tip: subtract the term numbers to find the number of common-difference steps between two terms.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceClass 10 MathematicsAp Formula

Frequently asked questions

What is the correct answer to this question?

51

Why is this the correct answer?

In an AP, there are 5 steps from the third term to the eighth term. Thus, \(a_8=a_3+(8-3)d=16+5\times7=51\). Therefore, the correct answer is 51. Choosing 49 would mean that the common difference has not been added the correct number of times. Exam tip: subtract the term numbers to find the number of common-difference steps between two terms.

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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10 more MCQs
  1. 1What is the fourth term in (14,18,22,26,\ldots)?
  2. 2What will be the fifth term in (2,7,12,17,\ldots)?
  3. 3What is the fourth term in the sequence (6,12,18,24,\ldots)?
  4. 4What is the third term in the sequence (9,7,5,3,\ldots)?
  5. 5A plant grows (2) cm every day. The heights are (12,14,16,18,\ldots). What is the height on the fourth day?
  6. 6In an AP, first term (a=4) and common difference (d=3). What is the (10)th term?
  7. 7Find the (12)th term of the AP (7,11,15,19,\ldots).
  8. 8What is the (9)th term of the AP (20,17,14,11,\ldots)?
  9. 9If (a=2), (d=5), what will be the (15)th term of the AP?
  10. 10Which is the (20)th term of the AP (3,8,13,18,\ldots)?
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