Asaltyskid Asaltyskid

01-08-2016
Mathematics

contestada

Please help out
Write the explicit formula for the geometric sequence.

a1 = -5 a2 = 20 a3 = -80

A. an = -5 • (-4)n

B. an = -5(-4)n-1

C. an = -4(-5)n-1

D. an = -5 • (4)n

Respuesta :

dalendrk dalendrk

01-08-2016

[tex]a_1=-5;\ a_2=20;\ a_3=-80\\\\a_n=a_1r^{n-1}\\\\r=a_2:a_1\to r=20:(-5)=-4\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}}\to\fbox{B.} [/tex]

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