Home
Class 11
MATHS
Two sequences cannot be in both AP a...

Two sequences cannot be in both AP and GP together .

Text Solution

Verified by Experts

False
considered an `AP . A,a+d,A+2d ***`
Now ` (a_(2))/(a_(1))=(a+d)/(a) ne (a+2d)/(a+d)`
thus AP is not a GP.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Fillers|3 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise True /False|5 Videos

  • SETS

    NCERT EXEMPLAR|Exercise TRUE AND FALSE|6 Videos

Similar Questions

Explore conceptually related problems

Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. 2,-2,-6,-10,……….

Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. 5,12,19,26,…….

Knowledge Check

  • There are (4n + 1) terms in a certain sequence of which the first (2n + 1) terms form an A.P. of common difference 2 and the last (2n + 1) terms are in G.P. of common ratio 1/2. If the middle terms of both A.P. and G.P. be the same, the mid-term of this sequence is

    A
    `(n.2^(n + 1))/(2^(n) - 1)`
    B
    `(n.2^(n + 1))/(2^(2n) - 1)`
    C
    `n.2^(n)`
    D
    none

    • Similar Questions

    Explore conceptually related problems

    Assertion : Restriction enzymes recongise palindromic sequences. Reason : Palindromic sequences read same in both directions of the two strand.

    Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. (3)/(2),(1)/(2),-(1)/(2),………..

    Which of the following sequences are A.P. ? If it is an A.P. , find next two terms. 1,1,2,2,3,3,………

    if a sequence of number is in GP show that their logarithms are in A.P

    1,3,9 can be terms of (A) an A.P. out not of a G.P (B) G.P. but not of an A.P. (C) A.P. and G.P both (D) neither A.P nor G.P

    Prove that three unequal numbers cannot be in GP when each number increased (or decreased) by the same quantity are in AP.

    Basic OF sequence and progression and AP

    Home
    Profile