find the indicated term for each Geometric sequence 1. 2/3, -1/3, 1/6 a18? 2. 4, 3, 9/4 a8? 3. 6, -4, 8/3 a7? 4. 1, √2, 2 a9?
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Step-by-step explanation:
1. a=2/3, r= (-1/3)/(2/3)=-1/2
a8= ar^(8-1)=(2/3)*(-1/2)^7
= -1/192
2. a=4, r= 3/4
a7= ar^(7-1)=4*(3/4)^6
=3^6/4^5
3. a=6, r= (-4)/(6)=-2/3
a7= ar^(7-1)=(6)*(-2/3)^6
=2^7/3^5
4.a=1, r= (√2)/1=√2
a9= ar^(9-1)=(1)*(√2)^8
=16
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