steph2132sc1 steph2132sc1

29-07-2016
Mathematics

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Find the 8th term of the geometric sequence: 1, -2, 4, -8, ...

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dalendrk dalendrk

31-07-2016

[tex]a_1=1;\ a_2=-2\\\\r=a_2:a_1\to r=-2:1=-2\\\\a_n=a_1r^{n-1}\to a_n=1\cdot(-2)^{n-1}=(-2)^{n-1}\\\\a_8=(-2)^{8-1}=(-2)^7=-128\\\\Answer:\boxed{a_8=-128}[/tex]

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