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Softa [21]
2 years ago
7

PLEASE ANSWER I REALLY NEED IT I WILL GIVE 25 POINTS

Mathematics
1 answer:
jonny [76]2 years ago
3 0

Answer:

I don´t know fully but you add by ones on top and add by threes on the bottom

Step-by-step explanation:

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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
il63 [147K]

The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

#SPJ1

8 0
1 year ago
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 wee
Katena32 [7]
For this case, the first thing we must do is define a variable.
 We have then:
 x: number of weeks
 y: amount of cereal that Melanie eats
 We now write the function that models the problem:
 y = 1.5x&#10;
 Then, for 5 weeks we have:
 y = 1.5 (5)&#10;&#10;y = 7.5 pounds
 Answer:
 
A model that best represents the number of pounds of cereal she eats is:
 
y = 1.5x&#10;
 For 5 weeks we have:
 
y = 7.5 pounds
5 0
3 years ago
Subtract-5 from the additive inverse of 4​
gavmur [86]

Answer:

-9

Step-by-step explanation:

        The additive inverse of 4 is -4. Why? 4 + -4 = 0

-4 - 5 = -9

5 0
2 years ago
Read 2 more answers
The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
Gre4nikov [31]

Answer: H

Step-by-step explanation:

9(-3)=-27, which is an integer.

8 0
2 years ago
How to cross multiple 3/5 by 10
postnew [5]

3/5 by 10  = 6

\frac{3}{5} *10 = 6

6 0
3 years ago
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