What are the next three terms of the sequence 1, -3, 9, -27,…?

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Answer 1 · 2018-08-10T20:31:13

The next three terms are : 81,-243,729

The given sequence is $: 1,-3,9,-27,...$

$:."First term : " a_1=1 and$

$"common ratio : " r=(-27)/9=9/(-3)=(-3)/1=-3$

Now , $a_1=1,a_2=-3,a_3=9,a_4=-27$

So, the next three terms are :

$a_5=(a_4)(r)=(-27)(-3)=81$

$a_6=(a_5)(r)=(81)(-3)=-243$

$a_7=(a_6)(r)=(-243)(-3)=729$