Problem

The first three terms of a geometric sequence are as follows.
\[
-5,20,-80
\]
Find the next two terms of this sequence. Give exact values (not decimal approximations).

Answer

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Answer

\(a_5 = a_4 * r = 320 * -4 = -1280 \)

Steps

Step 1 :\(r = \frac{20}{-5} = -4\)

Step 2 :\(a_4 = a_3 * r = -80 * -4 = 320 \)

Step 3 :\(a_5 = a_4 * r = 320 * -4 = -1280 \)

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