Sequences and Series

JEE Main 2024 (Online) 29th January Evening ShiftMCQMedium📈 Topic in 57% papers+4−1

Ques. 1JEE Main 2024, 29 January (Evening Shift)

If e a, e b, e c are in an A.P. and e a- e 2b, e 2b- e 3c, e 3c- e a are also in an A.P., then a:b:c is equal to

6:3:2
9:6:4
25:10:4
16:4:1

Answer

(2) 9:6:4

Solution

e a, e b, e c in A.P. b2=ac … (i)

Second A.P.: e a2b, e 2b3c, e 3ca

( 2b3c )2= a2b 3ca= 3c2b

( 2b3c )3=1 c= 2b3

(i) b2=a 2b3 a= 3b2

a:b:c= 32:1: 23=9:6:4

Answer: (2)

Keep practising — Sequences and Series

Ques. 2JEE Main 2024, 29 January (Evening Shift)

If each term of a geometric progression a1, a2, a3, with a1= 18 and a2 a1, is the arithmetic mean of the next two terms and Sn=a1+a2+ +an, then S20-S18 is equal to

-215
215
-218
218

Ques. 3JEE Main 2024, 27 January (Morning Shift)

The number of common terms in the progressions 4, 9, 14, 19, , up to 25th term and 3, 6, 9, 12, , up to 37th term is :

Ques. 4JEE Main 2024, 27 January (Morning Shift)

If 8=3+ 14(3+p)+ 142(3+2p)+ 143(3+3p)+ , then the value of p is .

Ques. 5JEE Main 2024, 27 January (Evening Shift)

The 20th term from the end of the progression 20, 19 14, 18 12, 17 34, , -129 14 is :

-115
-100
-110
-118

All Sequences and Series PYQs →

PDFDownload Sequences and Series PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇

All JEE Main Mathematics chapters

Class 11Sets Relations and Functions Trigonometric Functions Complex Numbers and Quadratic Equations Permutations and Combinations Binomial Theorem Sequences and Series Straight Lines Conic Sections Introduction to Three Dimensional Geometry Limits and Derivatives Statistics Probability

Class 12Relations and Functions (Class 12)Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Application of Derivatives Integrals Application of Integrals Differential Equations Vector Algebra Three Dimensional Geometry Probability (Class 12)