Segment A.B. is 40 mm long segment BC is 35 mm long how long is segment AC
2 answers:
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First, we are going to find the common ratio of our geometric sequence using the formula: 
. For our sequence, we can infer that 
and 
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that 
; we also know for our previous calculation that . So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>