Class 11 Mathematics · Chapter 6 · Test 6
Arithmetico-Geometric Progression
38 MCQs This test covers the A.G. sequence and series, the nth term, the sum to n terms and the sum to infinity, including the condition |r| < 1.
38 questions · 30 min · 38 marks
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Sample questions
The first 5 of 38. Try each one, then tap to see the answer.
Question 1
The sequence formed by multiplying the corresponding terms of an A.P. and a G.P. is called
- Aharmonic sequence
- Barithmetico-geometric sequence
- Cgeometric series
- Darithmetic mean
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Answer: B
That product sequence is arithmetico-geometric.
Question 2
The nth term of the arithmetico-geometric sequence formed from the A.P. a, a + d, a + 2d, ... and the G.P. b, br, br^2, ... is
- A{a + (n - 1)d}br^(n-1)
- B(a + nd)br^n
- C{a + (n - 1)d} + br^(n-1)
- Dabdr^(n-1)
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Answer: A
The nth term is the nth term of the A.P. times the nth term of the G.P.
Question 3
The sum of the terms of an arithmetico-geometric sequence is called an
- Aarithmetic series
- Bgeometric series
- Carithmetico-geometric series
- Dharmonic series
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Answer: C
Summing the terms of the sequence gives the arithmetico-geometric series.
Question 4
The nth term of the A.P. 1, 4, 7, ... is
- A3n + 1
- B4n - 3
- Cn + 3
- D3n - 2
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Answer: D
a_n = 1 + (n - 1)3 = 3n - 2.
Question 5
The nth term of the G.P. 5, 10, 20, ... is
- A5(2)^(n-1)
- B5(2)^n
- C2(5)^(n-1)
- D10(2)^(n-1)
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Answer: A
b_n = 5(2)^(n-1).
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