3 years ago

Can someone please help me :) !!!!

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer:

Step-by-step explanation:

supplementary angles add up to 180

angle cgr and kga are vertical angles so they are equal

that makes the two angles in question add up to 180

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For a given geometric sequence, the 9th term, a9, is equal to 43/256 and the 14th term, a14, is equal to 172. Find the value of

EastWind [94]

Answer:

$18th=44032$

Step-by-step explanation:

From the question we are told that:

9th term $a9=\frac{43}{256}$

14th term $a14=172$

Generally the equation for Geometric sequence is mathematically given by

$a_n=a_1r^{n-1}$

For 9th term

$\frac{43}{256}=a_1r^{8}$

For 14th term

$172=a_1r^{13} \\a_1=\frac{172}{r^13}$

Substitute in 9th term

$\frac{43}{256}=\frac{172}{r^13}*r^{8}$

$\frac{43}{256*172}=r^{-5}$

$r=^5sqrt{\frac{44032}{43}}$

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Therefore First term a is given as

$a_1=\frac{172}{4^13}$

$a_1=2.563*10^{-6}$

Generally the equation for the 18th term is mathematically given by

$18th=a_1r^{17}$

$18th=2.563*10^{-6}*4^{17}$

$18th=44032$

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