Home
Class 12
MATHS
The sum of three numbers in G.P. is 14. ...

The sum of three numbers in G.P. is 14. If the first to terms are each increased by 1 and the third term decreased by 1, the resulting numbers are in A.P. find the numbers.

Text Solution

Verified by Experts

The correct Answer is:
8, 4, 2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |29 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES) |4 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (TRUE AND FALSE) |5 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

The sum of three numbers a ,b ,c in A.P. is 18 . If aa n db are each increased by 4a n dc is increased by 36 , the new numbers form a G.P. Find a ,b ,c

The sum of three consecutive numbers of a G.P. is 14. If 1 is added in first and second term each and 1 subtracted from third, the new numbers form an A.P. Find the numbers.

Knowledge Check

  • The sum of three numbers in G.P. is 14 . If the first two terms are each increased by 1 and the third term is decreased by 1, the resulting numbers are in A.P. Find the product of these three numbers :

    A
    125
    B
    64
    C
    216
    D
    124

  • Three given numbers whose sum is 24 are in an A.P. If the first is decreased by 1 the second is decreased by 2 and the third is left unchanged the resulting numbers are in a G.P. Then the given numbers are

    A
    3,13,8
    B
    4,8,12
    C
    13,3,8
    D
    none of these

  • In an infinite G.P. the sum of first three terms is 70. If the externme terms are multipled by 4 and the middle term is multiplied by 5, the resulting terms form an A.P. then the sum to infinite terms of G.P. is :

    A
    120
    B
    40
    C
    160
    D
    80

    • Similar Questions

    Explore conceptually related problems

    The three numbers are in A.P and their sum is 21.If the first and second are decrease by 1 each and third is increased by 7, they form a G.P Find the numbers of A.P.

    The sum of three numbers in G.P. is 14. If one is added to the first and second numbers and 1 is subtracted from the third, the new numbers are in ;A.P. The smallest of them is a. 2 b. 4 c. 6 d. 10

    The product of three numbers in G.P. is 64 and their sum is 14. Find the numbers.

    Three numbers are in G.P. Their sum is 14. If we multiply the first and third numbers by 4 and 2nd number by 5, the new numbers form an A.P. Find the numbers.

    Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them respectively the resulting numbers re in G.P. Find the numbers.

    Home
    Profile