3 years ago

I need to know what is in the blank space ?

Mathematics

1 answer:

Ber [7]3 years ago

7 0

There is nothing in the space. If there were, then the space would not be blank.

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What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

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3 years ago

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pickupchik [31]

She sold 346+253=599 tickets.

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

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24 POINTS!!!!!!!!!!!!!!!!!

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1. Combining like terms
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