Question 195098: Find the missing term of each geometric sequence.
26. 16, [?] , 4
27. 25, [?] , 225
28. 2, [?] , 50
29. 1, [?] , 49
30. 3/4, [?] , 3
31. 36, [?] , 4
Answer by Edwin McCravy(20056) (Show Source):
You can put this solution on YOUR website!
Find the missing term of each geometric sequence.
16, [?] , 4
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±8
So that one has two possible answers, +8 and -8.
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25, [?] , 225
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±75
So that one has two possible answers, +75 and -75.
-----
2, [?] , 50
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±10
So that one has two possible answers, +10 and -10.
-----
1, [?] , 49
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±7
So that one has two possible answers, +7 and -7.
-----
3/4, [?] , 3
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±
So that one has two possible answers, + and .
-----
36, [?] , 4
let the missing term be x:
, ,
Now use the fact that in a geometric sequence,
Cross multiply:
x = ±12
So that one has two possible answers, +12 and -12.
Edwin
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