Class 11 Mathematics · Chapter 6 · Test 3

Arithmetic Series

41 MCQs This test covers the series definition, the formulas for the sum of an A.P., finding terms and counting terms from a given sum, and grouped series.

MCQs

41 questions · 35 min · 41 marks

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Sample questions

The first 5 of 41. Try each one, then tap to see the answer.

Question 1
The sum of the terms of a sequence is called the
- Asequence
- Bseries
- Cprogression
- Dmean
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Answer: B
The sum of the terms of a sequence is its series.
Question 2
The sum of the first n terms of a series is denoted by
- Aa_n
- Bd_n
- CS_n
- DT_n
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Answer: C
S_n denotes the sum of the first n terms.
Question 3
The sum of the first n terms of an A.P. is S_n =
- An/2[2a_1 + (n - 1)d]
- Bn[2a_1 + (n - 1)d]
- Cn/2[a_1 + (n - 1)d]
- D(n - 1)/2[2a_1 + nd]
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Answer: A
S_n = n/2[2a_1 + (n - 1)d].
Question 4
If the first and last terms of an A.P. are a_1 and a_n, then S_n =
- An(a_1 + a_n)
- Bn/2(a_1 - a_n)
- C(n - 1)/2(a_1 + a_n)
- Dn/2(a_1 + a_n)
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Answer: D
S_n = n/2(a_1 + a_n).
Question 5
The sum of the series 3 + 6 + 9 + ... to 20 terms is
- A630
- B600
- C660
- D570
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Answer: A
S_20 = 10[6 + 57] = 630.

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