Y = 1/8 x+3
1 answer:
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<u>Complete Question</u>
The positive integers A, B, and C form an arithmetic sequence while the integers B, C, and D form a geometric sequence. If (C/B) = (5/3), what is the smallest possible value of A + B + C + D?
Answer:
52
Step-by-step explanation:
If A, B, and C form an arithmetic progression
Their arithmetic mean,
2B=A+C
C= 2B-A
B, C, D forms a geometric sequence and Common ratio, r=C/B=5/3
The terms in the geometric sequence are:
Therefore:
So:
From arithmetic sequence
Common difference,
These all have to be positive integers so B must be a multiple of 9, The smallest values are if B is 9
A,B,C,D=3,9,15,25
So the smallest possible value for:
A+B+C+D = 3+9+15+25 = 52