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#