SOLUTION: Find the missing geometric sequence 15, __ , 81,...
Show work
Find the missing geometric sequence 36, __ , 100, ...
Show work
Algebra.Com
Question 72205: Find the missing geometric sequence 15, __ , 81,...
Show work
Find the missing geometric sequence 36, __ , 100, ...
Show work
Found 2 solutions by pradhyumna.kumar@gmail.com, stanbon:
Answer by pradhyumna.kumar@gmail.com(62) (Show Source): You can put this solution on YOUR website!
Find the missing geometric sequence 15, __ , 81,...
the missing term is (t2/t1)=(t3/t2)
=> (t2/15)=(81/t2)
=> (t2)^2 = 81 * 15
=> t2 = 9 sqrt(15).
Find the missing geometric sequence 36, __ , 100, ...
the missing term is (t2/t1)=(t3/t2)
=> (t2/36)=(100/t2)
=> (t2)^2 = 100 * 36
=> t2 = 10 * 6 = 60 .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the missing geometric sequence 15, __ , 81,...
Show work
If it's a geometric sequence there must be a "common ratio" "r" between
the terms.
So the terms are 15, 15r,(15r)r
Thus 15r^2=81
r^2=81/15
r=9/sqrt15
So the missing element is 15(9/sqrt15) = 9sqrt15
---------------------
Find the missing geometric sequence 36, __ , 100, ...
Following the same argument as above:
36r^2=100
r^2=100/36
r=10/6 = 5/3
Therefore the missing term is 36(5/3)=60
---------
Cheers,
Stan H.
RELATED QUESTIONS
find the missing terms for the geometric sequence
..., 4, ___, ___, 108,... (answered by ikleyn)
Find a general term a_n for the geometric sequence.
a1=-1/7 r=6 show... (answered by ccs2011)
Find the missing term of each geometric sequence?
29. 1, [?] , 49
30. 3/4, [?] ,... (answered by user_dude2008)
Find the missing term of the geometric sequence.
45, x,... (answered by ewatrrr)
X=1,2,3,4,5
Y=2,_,_,_,162
For each geometric, find the missing term in the... (answered by josgarithmetic)
Find the missing terms of the geometric sequence.... (answered by josgarithmetic)
Find the missing term or terms in each geometric sequence.
...,4,_,_,108,... (answered by jim_thompson5910)
Find the missing term in geometric sequence.... (answered by ikleyn)
Help me please, and show work thanks.
Find the next three terms in the geometric... (answered by richard1234)