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navik [9.2K]
3 years ago
14

find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be

low. 682 2,044 2,048 678
Mathematics
2 answers:
olasank [31]3 years ago
7 0
Hello,

u_{1} =4\\
 u_{2} =4*q\\
 u_{3} =4*q^2\\
...\\

 u_{9} =4*q^8\\\\
==\textgreater\ 4*q^8=1024\\
==\textgreater\ q^8=256\\
==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\
if\ q=2 \ then\  \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\

if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\





Answer B (but see the problem)
slavikrds [6]3 years ago
6 0

Answer:

I just did the test and the answer was 2,044.

Step-by-step explanation:

<h2>I Promise just trust me </h2>
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