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stepladder [879]
3 years ago
10

Are the ordered pairs below an arithmetic sequence or geometric

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

the answer is (2, 45) geometric

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Find the indicated nth term <br> show your solution 8,15,22,29,...,a18
Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

  • Arithmetic Sequence — a sequence that has same difference or common difference.
  • Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

<u>C</u><u>o</u><u>m</u><u>m</u><u>o</u><u>n</u><u> </u><u>D</u><u>i</u><u>f</u><u>f</u><u>e</u><u>r</u><u>e</u><u>n</u><u>c</u><u>e</u>

\displaystyle \large{a_{n + 1} - a_n = d}

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

<u>G</u><u>e</u><u>n</u><u>e</u><u>r</u><u>a</u><u>l</u><u> </u><u>T</u><u>e</u><u>r</u><u>m</u><u>s</u><u> </u><u>o</u><u>f</u><u> </u><u>A</u><u>r</u><u>i</u><u>t</u><u>h</u><u>m</u><u>e</u><u>t</u><u>i</u><u>c</u><u> </u><u>S</u><u>e</u><u>q</u><u>u</u><u>e</u><u>n</u><u>c</u><u>e</u>

\displaystyle \large{a_n = a_1  + (n - 1)d}

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

\displaystyle \large{a_{18} = 8  + (18 - 1)7} \\  \displaystyle \large{a_{18} = 8  + (17)7} \\  \displaystyle \large{a_{18} = 8  + 119} \\  \displaystyle \large{a_{18} = 127}

Therefore, the 18th term is 127.

4 0
3 years ago
What is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?
Virty [35]

Answer:

(1, 2)

Step-by-step explanation:

5 0
3 years ago
Which of the following is considered the north star? A. Polaris B. Sirius C. Betelgeuse D. Rigel
4vir4ik [10]
It is Polaris. You are welcome. 
I might be wrong.
6 0
3 years ago
Read 2 more answers
Deanna has 80 books in her collection. If 60% of the books are fiction, how many of the books are nonfiction?
Gennadij [26K]
32 books
80x40%
80x.40=32
5 0
3 years ago
Read 2 more answers
Whoever gets it right can have brainliest, but answer ASAP!
timurjin [86]
<h3>hello!</h3>

You can use the acronym PEMDAS to help you remember the Order of Operations in Maths.

Here's what it stands for:-

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

According to PEMDAS, the first operation is:-

Option A) 19-4

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

8 0
1 year ago
Read 2 more answers
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