Find the missing term of each geometric sequence...

asked Dec 27, 2016 in Mathematics by LouiseBerns366
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

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

answered Dec 27, 2016 by anonymous
if\ a;\ b;\ c\ are\ terms\ of\ each\ geometric\ sequence\ then\ a\times c=b^2


26.\\\fbox{?}^2=16\times4\\\\\fbox{?}^2=64\\\\\fbox{?}=\sqrt{64}\\\\\fbox{?}=8
==========================================================

27.\\\fbox{?}^2=25\times225\\\\\fbox{?}=\sqrt{25\times225}\\\\\fbox{?}=\sqrt{25}\times\sqrt{225}\\\\\fbox{?}=5\times15\\\\\fbox{?}=75
=========================================================

28.\\\fbox{?}^2=2\times50\\\\\fbox{?}^2=100\\\\\fbox{?}=\sqrt{100}\\\\\fbox{?}=10
========================================================

29.\\\fbox{?}^2=1\times49\\\\\fbox{?}^2=49\\\\\fbox{?}=\sqrt{49}\\\\\fbox{?}=7
=======================================================

30.\\\fbox{?}^2=\frac{3}{4}\times3\\\\\fbox{?}^2=\frac{9}{4}\\\\\fbox{?}=\sqrt\frac{9}{4}\\\\\fbox{?}=\frac{3}{2}
=======================================================

31.\\\fbox{?}^2=36\times4\\\\\fbox{?}^2=144\\\\\fbox{?}=\sqrt{144}\\\\\fbox{?}=12


Each\ answer\ can\ be\ either\ negative:\\-8;-75;-10;-7;-\frac{3}{2};-12

Related questions

0 answers
0 answers
asked Dec 23, 2016 in Mathematics by BernieCurren164
1 answer
1 answer
asked Dec 24, 2016 in Mathematics by mariagurganus11
0 answers
asked Dec 23, 2016 in Mathematics by FarrahGodina878
...