Find X so that x+6 , x+12 and x+15 are consecutive terms of GP(Geometric Progression)
HELP ME !!!
Answers
Answered by
2
Answer:
Please mark this as brainliest. Answers = -12 , -6 , -3
Step-by-step explanation:
Let the terms be a1, a2, a3. For a GP, the common ratio should be same,
a2/a1 = a3/a2
Now according to question, a1 = x+6 a2=x+12 a3 = x+15
x+12 / x+6 = x+15/x+12
Cross multiplying
(x+12)(x+12) = (x+6)(x+15)
x^2 + 24x + 144 = x^2 + 21x + 90
Subtracting x^2 from both side and taking 21x from RHS to LHS and 144 from LHS to RHS
3x = -54
x = -18
The numbers = -12 , -6 , -3
Mark this answer as brainliest!!
Answered by
0
Step-by-step explanation:
Hope helpful for you Mark me as brainlist please
Attachments:
Similar questions