Q63.If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296, respectively, then the sum of common ratios of all such GPs is 9 (1) 7 (2) 2 (3) 3 (4) 14
What This Question Tests
This question tests the ability to set up and solve equations based on the sum and product of four consecutive terms in a G.P. It requires algebraic manipulation to find possible common ratios.
Concepts Tested
Formulas Used
a + ar + ar^2 + ar^3 = S
a * ar * ar^2 * ar^3 = P
📚 NCERT Sections This Tests
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
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12.7 The radius of the innermost electron orbit of a hydrogen atom is 5.3×10–11 m. What are the radii of the n = 2 and n =3 orbits?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Geometric Progression
- Year
- 2023
- Shift
- 31 Jan Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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