Q54.If the sum of the first 40 terms of the series, 3 + 4 + 8 + 9 + 13 + 14 + 18 + 19+. . . . is (102)m, then m is equal to (1) 20 (2) 25 (3) 5 (4) 10
What This Question Tests
This question requires setting up and solving equations based on the properties of a geometric progression and then calculating the sum of its first nine terms.
Concepts Tested
Formulas Used
a_n = ar^(n-1)
S_n = a(r^n - 1)/(r-1)
📚 NCERT Sections This Tests
5.12 — Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of
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5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
1.3 — Define The Following Terms:
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1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
3.18 — For A First Order Reaction, Show That Time Required For 99% Completion
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3.18 For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.
📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Geometric Progression (G.P.)
- Year
- 2020
- Shift
- 07 Jan Shift 2
- Q Number
- Q54
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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