O SEQUENCES,SERIES, AND PROBABILITYMaxFinding the next terms of a geometric sequence with signed num...EspañolThe first three terms of a geometric sequence are as follows-256, -64, -16Find the next two terms of this sequenceGive exact values (not decimal approximations).-256, -64, 16,?XEEAa

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Asked Oct 20, 2019
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O SEQUENCES,SERIES, AND PROBABILITY
Max
Finding the next terms of a geometric sequence with signed num...
Español
The first three terms of a geometric sequence are as follows
-256, -64, -16
Find the next two terms of this sequence
Give exact values (not decimal approximations).
-256, -64, 16,
?
X
EE
Aa
help_outline

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O SEQUENCES,SERIES, AND PROBABILITY Max Finding the next terms of a geometric sequence with signed num... Español The first three terms of a geometric sequence are as follows -256, -64, -16 Find the next two terms of this sequence Give exact values (not decimal approximations). -256, -64, 16, ? X EE Aa

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Expert Answer

Step 1

To write down the 4th and 5th terms of the given geometric sequence.

Step 2

In a geometric series, the ratio of any terms to t...

second term
-64
first term
256
So
fourth termxthird term
=x(-16)4
1
fifth term
-x fourth term
4
= x (-4)=-1
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second term -64 first term 256 So fourth termxthird term =x(-16)4 1 fifth term -x fourth term 4 = x (-4)=-1

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