Mathematics
OpenStudy (anonymous):

What is the 7th term of the geometric sequence where a1 = –4 and a5 = –1,024

OpenStudy (anonymous):

The process: A geometric sequence means that the general term is given by the following expression for some constant $$C$$. $\Huge a_n=a_1 \cdot C^{n-1}$ Use this information to reason out the value of $$C$$, and plug in $$n=7$$.

OpenStudy (anonymous):

that doesnt make sense to me, can you explain

OpenStudy (anonymous):

Here, you are given $$a_1=-4$$, so the terms are as follows, using the formula.$a_1,a_2,a_3,a_4,\ldots=a_1,Ca_1,C^2a_1,C3a_1,\cdots=^-4,-4C,-4C^2,-4C^3,\ldots$See how we multiply on the factor $$C$$ each time? We can figure out that value, and find out $$a_7=C^6a_1$$. (Note: click on any equation to make it bigger).

OpenStudy (anonymous):

Correction: $$C^3a_1$$.

OpenStudy (anonymous):

|dw:1338153169254:dw| |dw:1338153321482:dw|