3 years ago

Find the common ratio of the geometric sequence 11, -88, 704,...

Mathematics

1 answer:

kati45 [8]3 years ago

7 0

Answer:

-8

Step-by-step explanation:

Common ratio of a geometric sequence can be obtained by dividing the successive terms as ,

=> S = 11 , -88 , 704

=> r = -88/11

=> r = -8

=> r = 704/-88

=> r = 8/-1

=> r = 8(-1)/(-1)(-1)

=> r = -8

<h3>• Hence the common ratio is -8.</h3>

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jamie wants to run a total of 9 miles thid week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9. please help m

____ [38]

Answer:

$r=4\frac{3}{8}$

Step-by-step explanation:

Given the following question:

$4\frac{5}{8} +r=9$

<u>Rewrite the expression to find the value of r:
</u>
$9-4\frac{5}{8}$

<u>Subtract by finding the common denominator:</u>
$9-4\frac{5}{8}$
$9=\frac{9}{1}$
$4\frac{5}{8} =8\times4=32+5=37=\frac{37}{8}$
$\frac{9}{1} -\frac{37}{8}$
$\frac{9}{1} \times8=\frac{72}{8}$
$\frac{37}{8} \times1=\frac{37}{8}$
$\frac{72}{8} -\frac{37}{8}$
$72-37=35$
$=\frac{35}{8}$
$\frac{35}{8} =35\div8=4\frac{3}{8}$
$r=4\frac{3}{8}$
$4\frac{5}{8} +4\frac{3}{8} =9$

Hope this helps.