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kramer
3 years ago
6

Find the 52nd term of the arithmetic sequence 5, 9, 13

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

209

Step-by-step explanation:

You would first create an explicit formula for the provided sequence.

The basic explicit formula for arithmetic sequences is a_{n} = d(n-1) + a_{1}, where an is the number of the term, d is the number you are adding or subtracting by, n the location of the term, and a1 is the first number.

We would then substitute the values given into the formula.  

We are trying to solve the value of the 52nd term. This makes n = 52. The first number of the sequence is 5, so a1 is 5. Finally, d is 4 because we are adding 4 to each number in the sequence.

Therefore, our resulting equation would be a_{n} =4(52-1)+5, which equals 209.

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What is the value of 4⋅(2^2+5)^2÷3−1?
mel-nik [20]

Hi there!

<u>Here is the step by step explanation into solving this :</u>

4 × (2² + 5)² ÷ 3 - 1

Start by solving the inside of the parentheses

2² = 2 × 2 = 4

4 + 5 = 9

Distribute the "²" to the whole parentheses

9² = 9 × 9 = 81


4 × 81 ÷ 3 - 1

Do the multiplication, then the division and lastly the subtraction

4 × 81 = 324

324 ÷ 3 = 108

108 - 1 = 107


The answer is : 107


There you go! I really hope this helped, if there's anything just let me know! :)

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3 years ago
Kara and Sonny went to see a movie at the local theater.
CaHeK987 [17]

Answer:

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Step-by-step explanation:

  • if we used omitting method:

1-we multiply (p+s=8.5) by (-2) so we could get rid of (s) and be leftover with (p)

so: (-2p-2s= -17)

2- we subtract this equation from (p+2s=13) and the result will be (-p= -4)

3- divide them by (-1) and the result is (p=4)

4-(p+s=8.5) ,substitute (p) with (4) and make it go to the other side with negative sign and the result of (s) is (8.5-4=4.5)

  • if we used substituting method:

1-(p+s=8.50), we will make (s) go to the other side with negative sign so the result is (p=8.50-s)

2-(p+2s=13.00), substitute (p) with (8.50-s):

(8.50-s+2s=13)

3- make (8.50) go to the other side with negative sign:

(s=13-8.50=4.5) and then you could get (p)

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Answer:

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Step-by-step explanation:

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