2 years ago

Help me plz with this problem

Mathematics

1 answer:

inysia [295]2 years ago

8 0

Answer:

refer to this attachment

kamsahamnida

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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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2 years ago

Help me resolve this 3.25 × 6.5 =

Alexeev081 [22]

The answer is:

21.125

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2 years ago

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Here is Laila’s graph from the previous screen.

lidiya [134]

Answer:

y=-1/3x+8

Step-by-step explanation:

There is no need for any specific answers, but here is one that could logically work out. Since the graph is going left/down, it has a negative slope, so -1/3 would be reasonable. The graph doesn't cross the origin and crosses above it, so this equation must have a positive 'b' value. In this case, I chose 8. y=-1/3+8 could represent Laila's graph.

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2 years ago

Given: AB ∩ CD ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate: Vertical angle to ∠G

lys-0071 [83]

Answer:

The verticle angle to GOB is AOF.

Step-by-step explanation:

Look at the picture, it's pretty clear

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2 years ago

(x/2-3)/5=6 convert to english sentence

Jobisdone [24]

When divided by 5, 3 subtracted from x divided by 2 equals to 6

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2 years ago

Help me plz with this problem​

Help me plz with this problem