_,_,x^4,2x^7_,_,_ fill the blanks?

geometric sequence

1 Answer
Jim G.
Jul 30, 2018

#1/4x^-2,1/2x,4x^10,8x^13,16x^16#

Explanation:

#"Since the sequence is geometric then"#

#r=a_4/a_3=(2x^7)/x^4=2x^3#

#a_4=a_1r^3=2x^7#

#a_1=(2x^7)/(8x^9)=1/4x^-2#

#a_2=1/4x^-2xx2x^3=1/2x#

#a_5=2x^7xx2x^3=4x^10#

#a_6=4x^10xx2x^3=8x^13#

#a_7=8x^13xx2x^3=16x^16#

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