3 years ago

1 1/4 divided by 1 2/5

Mathematics

1 answer:

Degger [83]3 years ago

7 0

Answer:

25/28

Step-by-step explanation:

1 1/4=5/4

1 2/5=7/5

------------

(5/4)/(7/5)

(5/4)(5/7)

25/28

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Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is: 50, -50, 50, -50,.................

Lets assume, the terms as $a_{1}, a_{2}, a_{3}, a_{4},...........$

Checking for common difference:

$a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100$

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$\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1$

As there is a common ratio, so it's a geometric sequence.

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