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Sequences and Series - 2 - JEE MCQ


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30 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Sequences and Series - 2

Sequences and Series - 2 for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Sequences and Series - 2 questions and answers have been prepared according to the JEE exam syllabus.The Sequences and Series - 2 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Sequences and Series - 2 below.
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Sequences and Series - 2 - Question 1

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Sequences and Series - 2 - Question 2


Detailed Solution for Sequences and Series - 2 - Question 2


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Sequences and Series - 2 - Question 3

The right triangle ABC has legs of length AB = 2 and BC = 4. Point D is the foot of the perpendicular from B on the side AC. The altitude from D of triangle BDC meets the side BC at E. The altitude from E of triangle DEC meets DC at F......(as so forth). If the area of the shaded regions can be expressed in lowest rational equal to p/q , find (p + q).


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Sequences and Series - 2 - Question 4


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Sequences and Series - 2 - Question 5


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Sequences and Series - 2 - Question 6

If A.M., G.M. and H.M. of first and last terms of the series 100, 101, 102,…. n –1, n are the terms of the series it self then the value of n is (100 < n ≤ 500 )

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Sequences and Series - 2 - Question 7


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Sequences and Series - 2 - Question 8


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Sequences and Series - 2 - Question 9


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Sequences and Series - 2 - Question 10


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Sequences and Series - 2 - Question 11


Detailed Solution for Sequences and Series - 2 - Question 11


Sequences and Series - 2 - Question 12

If (1 – y) (1 + 2x + 4x2 + 8x3 + 16x4 + 32x5) = 1 – y6, (y ≠ 1), then a value y/x is -

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Sequences and Series - 2 - Question 13

112 + 122 + 132 +…..202 is equal to

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Sequences and Series - 2 - Question 14

If | a | <1 & | b | < 1 then sum of the series a (a + b) + a32 (a2+ b2) + a3 (a3+ b3) + ….. up to ∞ is

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Sequences and Series - 2 - Question 15

Consider an infinite G.P. with first term a and common ratio r. Its sum is 4 and the second term is 3/4, then

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Sequences and Series - 2 - Question 16

Let S1, S2,… be squares such that for each n ≥ 1, the length of a side of Sn equals the length of a diagonal of Sn+1. If the length of a side of S1 is 10 cm, then the smallest value of n for which Area (Sn) < 1 is -

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Sequences and Series - 2 - Question 17

Let a, b be the roots of x2 –3x + p = 0 and let c, d be the roots of x2 –12x + q = 0, where a, b, c, d form an increasing G.P. Then the ratio of q + p : q – p is equal to

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Sequences and Series - 2 - Question 18

Sum of the series .5 + .55 + .555 + ………. upto n terms is

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Sequences and Series - 2 - Question 19

Sum upto 20 terms 1.32 + 2.52 + 3.72 + ……….. =

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Sequences and Series - 2 - Question 20


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Sequences and Series - 2 - Question 21


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Sequences and Series - 2 - Question 22


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Sequences and Series - 2 - Question 23


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Sequences and Series - 2 - Question 24

Suppose a, b, c are in A.P. and a2, b2, c2 are in G.P. If a < b < c and a + b + c =3/2, then the value of a is -

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Sequences and Series - 2 - Question 26


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Sequences and Series - 2 - Question 27

If the sixth term of an A.P. is equal to 2. the value of the common difference of the A.P. which makes the product a1 a4 a5 the greatest is 

(the ith term is denoted by a)

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Sequences and Series - 2 - Question 28


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Sequences and Series - 2 - Question 29


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Sequences and Series - 2 - Question 30

If x, y, z are positive nos. minimum value of  xlny –lnz + ylnz–lnx + zlnx –lny is –

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