Q65.If b is the first term of an infinite geometric progression whose sum is five, then b lies in the interval (1) [10, ∞) (2) (−∞, −10] (3) (−10, 0) (4) (0, 10)
What This Question Tests
This question tests the formula for the sum of an infinite geometric progression and the essential condition for its convergence, requiring students to derive the range for the first term 'b'.
Concepts Tested
Formulas Used
S = a / (1 - r)
|r| < 1
📚 NCERT Sections This Tests
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Infinite Geometric Progression
- Year
- 2018
- Shift
- 15 Apr
- Q Number
- Q65
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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