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80, 60, 45,...
Find the 9th term.


Sagot :

Answer:

4th-35

5th-30

6th-30

7th-35

8th-45

9th-60

Step-by-step explanation:

80-60

=20

60-45

=15

☆decreases by 5 starting from 20

next is 10

45-10

=35

5

35-5

=30

30-0

=30

-5

30-(-5)

35-(-10)

45-(-15)

=60

The ninth term of the series [tex]80,60,45.....[/tex]  is [tex]50[/tex].

We need to determine the relationship between the consecutive terms of the series to evaluate the succeeding terms of the series.

How to find the terms in a series?

The difference between the first and second terms is [tex]60-80=-20[/tex].

The difference between the second and the third terms is [tex]45-60=-15[/tex]

So, the difference between the third and the fourth terms will be [tex]-10[/tex]. So, the fourth term will be [tex]45-10=35[/tex].

Similarly, the difference between the eighth and the ninth terms will be [tex]-15[/tex]. So, the ninth term will be [tex]35-(-15)=50[/tex].

Thus, the ninth term of the series is [tex]50[/tex].

Learn more about series here- https://brainly.com/question/12707471

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