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find an equation for the nth term of a geometric sequence where the second and fifth terms are -21 and 567, respectively. (1 point) select one: a. an = 7 • (-3)n 1 b. an = 7 • 3n - 1 c. an = 7 • (-3)n - 1 d. an = 7 • 3n

Respuesta :

dalendrk
[tex]a_2=-21;\ a_5=567\\\\a_5:a_2=3r\\\\r^3=567:(-21)=\\r^3=-27\\r=\sqrt[3]{-27}\\r=-3\\\\a_1=a_2:r\to a_1=-21:(-3)=7\\\\\boxed{a_n=7\cdot(-3)^{n-1}}\to\fbox{c.}[/tex]
arshikhan8123

An equation for the nth term of a geometric sequence is c. an = 7 • (-3)n - 1

What are geometric sequences?

A geometric series is a series of numbers wherein the ratio among consecutive phrases is constant. in which r is the common ratio among successive terms. instance 1: {2,6,18,54,162,486,1458,...}.

In mathematics, a geometrical development, also known as a geometric collection, is a sequence of non-0 numbers wherein every term after the first is located via multiplying the previous one by using a set, non-zero wide variety called the not unusual ratio.

Learn more about geometric sequences here: https://brainly.com/question/24643676

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