help me to solve this question
Attachments:
Answers
Answered by
2
SEE THE AATACHMENT YOUR ANSWER IS THIS AND I THINK IT IS CORRECT
#TOGETHER WE GO FAR✔✔
Attachments:
Answered by
4
Answer:
A geometric progression can be written as:
a, ar, ar²
Product is 3375
(a)(ar)(ar²) = 3375
a^3 r^3 = 3375 [take the cube root]
ar = 15
So the sequence can be written as:
15/r, 15, 15r
Sum is 65
15/r + 15 + 15r = 65 [Multiply by r to get rid of fraction]
15 + 15r + 15r^2 = 65r [Collect like terms]
15r^2 - 50r + 15 = 0 [Divide by five to make the numbers easier]
3r^2 - 10r + 3 = 0 [Factor]
(3r - 1)(r - 3) = 0
r = 1/3, 3
This r gives us a sequence of:
5, 15, 45
★ So 5 is the Smallest Number among them .
Similar questions