Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Sequences and Series question

2024 · 29 Jan · Shift 2 · Q41
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Sequences and Series
  5. /2024 · 29 Jan · Shift 2 · Q41

Sequences and Series question

2024 · 29 Jan · Shift 2 · Q41

JEE MainMathematicsSequences and SeriesMCQ+4 / −1
If log⁡ea,log⁡e b,log⁡ec\log _e \mathrm{a}, \log _e \mathrm{~b}, \log _e \mathrm{c}loge​a,loge​ b,loge​c are in an A.P. and log⁡ea−log⁡e2 b,log⁡e2 b−log⁡e3c,log⁡e3c−log⁡e\log _e \mathrm{a}-\log _e 2 \mathrm{~b}, \log _e 2 \mathrm{~b}-\log _e 3 \mathrm{c}, \log _e 3 \mathrm{c} -\log _eloge​a−loge​2 b,loge​2 b−loge​3c,loge​3c−loge​ a are also in an A.P, then a:b:ca: b: ca:b:c is equal to
  1. A
    6:3:26: 3: 26:3:2
  2. B
    9:6:49: 6: 49:6:4
  3. C
    25:10:425: 10: 425:10:4
  4. D
    16:4:116: 4: 116:4:1
PreviousNext

More from Sequences and Series

  • If each term of a geometric progression a1​,a2​,a3​,… with a1​=81​ and a2​eqa1​, is the arithmetic mean of the next two terms and Sn​=a1​+a2​+…..+an​, then S20​−S18​ is equal to2024 · MCQ
  • Let Sn​ denote the sum of first n terms of an arithmetic progression. If S20​=790 and S10​=145, then S15​−S5​ is :2024 · MCQ
  • Let α=12+42+82+132+192+262+… upto 10 terms and β=∑n=110​n4. If 4α−β=55k+40, then k is equal to ​.2024 · Numerical
  • Let a and b be be two distinct positive real numbers. Let 11th  term of a GP, whose first term is a and third term is b, is equal to pth  term of another GP, whose first term is a and fifth term is b.…2024 · MCQ
  • Let Sn​ be the sum to n-terms of an arithmetic progression 3,7,11, If 40<(n(n+1)6​∑k=1n​Sk​)<42, then n equals ​.2024 · Numerical
  • For 0<c<b<a, let (a+b−2c)x2+(b+c−2a)x+(c+a−2b)=0 and α=1 be one of its root. Then, among the two statements (I) If α∈(−1,0), then b cannot be the geometric mean of a and c(II) If α∈(0,1)…2024 · MCQ
  • The sum of the series 1−3⋅12+141​+1−3⋅22+242​+1−3⋅32+343​+… up to 10 -terms is2024 · MCQ
  • Let 2nd ,8th  and 44th  terms of a non-constant A. P. be respectively the 1st ,2nd  and 3rd  terms of a G. P. If the first term of the A. P. is 1, then the sum of…2024 · MCQ