Q67.If m is the A. M. of two distinct real numbers I and n (I, n > 1) and G1, G2 and G3 are three geometric means between I and n, then G41 + 2G42 + G43 equals (1) 4l2m2 n2 (2) 4 l2mn (3) 4 lm2 n (4) 4lmn2
What This Question Tests
This question tests the understanding of Arithmetic and Geometric Means by asking to express a sum involving geometric means in terms of the given arithmetic mean.
Concepts Tested
Formulas Used
m = (l+n)/2
Gk = l * (n/l)^(k/(number of GMs + 1))
📚 NCERT Sections This Tests
5.11 — Draw All The Isomers (Geometrical And Optical) Of:
Chemistry Class 11 · Chapter 5
5.11 Draw all the isomers (geometrical and optical) of: (i) [CoCl2(en)2] + (ii) [Co(NH3)Cl(en)2] 2+ (iii) [Co(NH3)2Cl2(en)]+
12.7 — The Radius Of The Innermost Electron Orbit Of A Hydrogen Atom Is
Physics Class 12 · Chapter 12
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?
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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
- Arithmetic and Geometric Means
- Year
- 2015
- Shift
- 04 Apr
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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