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3 years ago

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The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1

) What number should go in place of n to find the area of the triangle?

1 answer:

bekas [8.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

4.5

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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?

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

$\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)
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