Mathematics, 03.07.2019 21:30 kennrecklezz
The first three terms of a geometric sequence are shown below. x+3,-2x^2-6x,4x^3+12x^2 what is the eighth term of the sequence?
Answers: 1
![a_1=x+3\\\\a_2=-2x^2-6x=-2x(x+3)\\\\a_3=4x^3+12x^2=-2x(-2x^2-6x)=-2x[-2x(x+3)]\\\vdots\\\text{The general term of geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=x+3,\ r=-2x\\\\\text{Substitute}\\\\a_n=(x+3)(-2x)^{n-1}\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=(x+3)(-2x)^{8-1}=(x+3)(-2x)^7=(x+3)(-128x^7)\\\\\text{use distributive property}\\\\a_8=(x)(-128x^7)+(3)(-128x^7)\\\\\boxed{a_8=-128x^8-384x^7}](/tpl/images/0047/8387/c880d.png)
Another question on Mathematics
Mathematics, 21.06.2019 20:30
Answer asap evaluate 4-0.25g+0.5h4−0.25g+0.5h when g=10g=10 and h=5h=5.
Answers: 3
Mathematics, 22.06.2019 02:50
Explain how to graph a scatterplot and its regression line using a regression calculator.
Answers: 3
You know the right answer?
The first three terms of a geometric sequence are shown below. x+3,-2x^2-6x,4x^3+12x^2 what is the e...
Questions
Mathematics, 18.01.2021 21:00
Biology, 18.01.2021 21:00
Mathematics, 18.01.2021 21:00
Physics, 18.01.2021 21:00
