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OLEGan [10]
1 year ago
14

Find the 8th term of the geometric sequence 3, 12, 48,...

Mathematics
1 answer:
Sophie [7]1 year ago
4 0
\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}

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Write the rational expression with the given denominator. 4/5a=?/15a
Lapatulllka [165]
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3 years ago
Write a two column proof. If ZY=3XY, then ZX=4XY
Blababa [14]

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As you have written

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It means X, Y, Z are collinear points i.e they lie in the same line or line segment.

Locating points X, Y,Z  on the line

Two possibilities are possible

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→ Z X + Y X= Z Y

But Z Y = 3 X Y [ Given]

→  Z X + Y X = 3 X Y

→  Z X = 3 X Y -  Y X

→  Z X = 2 X Y ⇒ which is not the result.

2. 2nd Possibility

First Z, then Y and then X on the line or line segment

→ Z X  =  Z Y + Y X

→ Z X= 3 X Y + Y X  [Z Y=3 X Y→(given)]

→ Z X= 4 X Y , Which is the result.


5 0
3 years ago
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