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Class 9MathematicsSequences and ProgressionsArithmetic ProgressionHardLevel 52
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How many terms of the arithmetic progression (4,10,16,\ldots) have sum (490)?

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Answer and explanation

Correct answer: (14)

In (S_n=\frac{n}{2}[8+6(n-1)]), putting (n=14) gives (602), so none of the given options is correct. In exams, you can check quickly by substituting options.

Related tags

SequencesProgressionsArithmetic-ProgressionClass-9Hard

Frequently asked questions

What is the correct answer to this question?

(14)

Why is this the correct answer?

In (S_n=\frac{n}{2}[8+6(n-1)]), putting (n=14) gives (602), so none of the given options is correct. In exams, you can check quickly by substituting options.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Arithmetic Progression.

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  1. 1How can B={1,4,7,10,13} be written in set-builder form?
  2. 2What is the common difference in the sequence 11, 16, 21, 26, ...?
  3. 3In the sequence (5, 12, 19, 26, ...), how many terms are greater than 50 and less than 150?
  4. 4In the sequence 5, 10, 20, 40, ..., which term is 5120?
  5. 5In an arithmetic sequence, a_1=8 and a_4=20. What is its explicit rule?
  6. 6What is the common difference in the sequence (2,5,8,11,\ldots)?
  7. 7What will be the next term of the sequence (7,12,17,22,\ldots)?
  8. 8If an arithmetic progression has first term (4) and common difference (6), what is the second term?
  9. 9What is the common difference in the sequence (15,11,7,3,\ldots)?
  10. 10Is the sequence (3,6,9,12,\ldots) an arithmetic progression?
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