RankLab
Back to Questions
MathsMediumMCQ2018 · 15 Apr Shift 2 Online

Q63.Let An = ( 34 ) −( 43 ) 2 + ( 43 ) 3 −… + (−1)n−1( 43 ) n , so that Bn > An , for all n ≥p is (1) 5 (2) 7 (3) 11 (4) 9

What This Question Tests

This question involves calculating the sum of a finite geometric series and then an infinite geometric series, and solving an inequality to find the least natural number satisfying a given condition.

Concepts Tested

Sum of a finite geometric seriesSum of an infinite geometric seriesInequalities involving sums of series

Formulas Used

S_n = a(1-r^n)/(1-r)

S_infinity = a/(1-r) for |r|<1

📚 NCERT Sections This Tests

5.12Write All The Geometrical Isomers Of [Pt(Nh3)(Br)(Cl)(Py)] And How Many Of

Chemistry Class 11 · Chapter 5

70% match

5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?

5.11Draw All The Isomers (Geometrical And Optical) Of:

Chemistry Class 11 · Chapter 5

70% match

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)]+

1.3Define The Following Terms:

Chemistry Class 11 · Chapter 1

69% match

1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.