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WITCHER [35]
2 years ago
8

Find the fifth term of the arithmetic sequence whose third term is 29 and

Mathematics
2 answers:
Dahasolnce [82]2 years ago
7 0

Answer: The fifth term is 49.

Step-by-step explanation: The question states that what we have is an arithmetic sequence. The nth term of an arithmetic sequence is defined as;

Nth term = a + (n- 1) d

Where a is the first term,

n is the nth or unknown term and

d is the common difference

The common difference has been given as 10, and the 3rd term has been given as 29. The first term is yet unknown. We can now express the 3rd term as follows;

29 = a + (3 - 1) x 10

29 = a + 2(10)

29 = a + 20

Subtract 20 from both sides of the equation

a = 9

Having calculated the first term a to be equal to 9, we can now solve for the 5th term as follows;

nth term = a + (n - 1) d

5th term = 9 + (5 - 1) x 10

5th term = 9 + (4) x 10

5th term = 9 + 40

5th term = 49.

Pani-rosa [81]2 years ago
5 0

Answer:

The third term of the arithmetic sequence is 49

Step-by-step explanation:

It's 49 because :

as you said the third term is 29 and common difference is 10, so I add the common difference to the every answer that I get as it shown below:

29+10=39   (this is the fourth term)

39+10=49    (this is the fifth term)

The 1st,2nd,3rd,4th and 5th are shown below:

9,19,29,39,49

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2 years ago
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anyanavicka [17]

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Step-by-step explanation:

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5 0
3 years ago
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NEED HELP ASAP
VARVARA [1.3K]

When solving an equation with an absolute value term, you make two separate equations ans solve for x:

Equation 1: |4x-3|-5 = 4

1st add 5 to both sides:

|4x-3| = 9

Remove the absolute value term and make two equations:

4x-3 = 9 and 4x - 3 = -9

Solving for x you get X = 3 and x = -1.5

When you replace x with those values in the original equation the statement is true so those are two solutions.

Do the same thing for equation 2:

|2x+3| +8 = 3

Subtract 8 from both sides:

|2x+3| = -5

Remove the absolute value term and make two equations:

2x +3 = -5

2x+3 = 5

Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.

The answer is:

C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.

3 0
3 years ago
Simplify the following expression. 3 2/5x3(-7/5)
Studentka2010 [4]

The simplified expression of 32/5 x 3(-7/5) is  -672/25

<h3>How to simplify the expression?</h3>

The mathematical expression is given as:

32/5 x 3(-7/5)

Evaluate the product of 3 and -7/5

32/5 x 3(-7/5) =  32/5 x -21/5

Evaluate the product of 32 and -21

32/5 x 3(-7/5) =  672/5 x -1/5

Evaluate the product of 5 and 5

32/5 x 3(-7/5) =  672/25 x -1

So, we have:

32/5 x 3(-7/5) =  -672/25

Hence, the simplified expression of 32/5 x 3(-7/5) is  -672/25

Read more about expressions at:

brainly.com/question/723406

#SPJ1

8 0
2 years ago
PLEASE HELP! THANK YOU! :D
Ostrovityanka [42]
I think it’s C. Sorry if I’m incorrect
6 0
3 years ago
Read 2 more answers
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