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alina1380 [7]
3 years ago
11

Find three consecutive integers whose sum is -57

Mathematics
2 answers:
jekas [21]3 years ago
5 0
<span>x, x+1,x+2
...
x+x+1+x+2=-147
3x+3=-147
-3 -3
3x=-147-3

3x=-150
/3
x= -150/3
x= -50
..
-50,-49,-48
... i think that is it 8)

</span>
kakasveta [241]3 years ago
3 0

Answer:

Step-by-step explanation: Don't be thrown off by the negative in this problem. Integers can be negative so it's not problem to be told that the sum of our 3 consecutive integers is -57.

Use X, X + 1, and X + 2 to represent the integers.

The rest of my work is attached in the image provided.

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence​
algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

\boxed{T_n = a + (n-1)d}

\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

\boxed{T_n = a ~ r^{n-1}}

\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

r = a_2 \div a_1 = 4 \div 8 = 0.5

\texttt{ }

<em>The iterative rule for the sequence:</em>

a_n = a_1 \cdot~ r^{n-1}

a_n = 8 \cdot~ (0.5)^{n-1}

\texttt{ }

<h3>Learn more</h3>
  • Geometric Series : brainly.com/question/4520950
  • Arithmetic Progression : brainly.com/question/2966265
  • Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

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