Q64.If b is the first term of an infinite G. P whose sum is five, then b lies in the interval. (1) (−∞, −10) (2) (10, ∞) (3) (0, 10) (4) (−10, 0)
What This Question Tests
This question tests the understanding of the sum of an infinite geometric progression and the condition for its convergence, requiring algebraic manipulation to find the range of the first term 'b'.
Concepts Tested
Formulas Used
S_infinity = a / (1-r)
|r| < 1
📚 NCERT Sections This Tests
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.
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.
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 Shift 1 Online
- Q Number
- Q64
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
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