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adell [148]
3 years ago
9

Use the given sequence to answer this following questions:

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Given:

The arithmetic sequence is:

1, 6, 11, 16, 21,...

To find:

1. The rule for the nth term of the given arithmetic sequence.

2. The 10th term of the given arithmetic sequence.

Solution:

1. We have,

1, 6, 11, 16, 21,...

Here, the first term is 1 and the common difference is:

d=a_2-a_1

d=6-1

d=5

The nth term of an arithmetic sequence is:

a_n=a+(n-1)d

Where, a is the first term and d is the common difference.

Putting a=1,\ d=5, we get

a_n=1+(n-1)5

a_n=1+5n-5

a_n=5n-4

Therefore, the nth term of the given sequence is a_n=5n-4.

2. We need to find the 10th term of the given arithmetic sequence.

From part 1 it is clear that the nth term of the given arithmetic sequence is:

a_n=5n-4

Putting n=10, we get

a_{10}=5(10)-4

a_{10}=50-4

a_{10}=46

Therefore, the 10th term of the given arithmetic sequence is 46.

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What's the GCF of 26y and 52y?
adoni [48]

Answer:

26y

Step-by-step explanation:

26y and 52y.

13*2*y and 13*2*2 *y

Common is 13*2*y

or 26y

Hope this helps!

7 0
3 years ago
Your budget is to spend no more than $450 on frozen treats.
ikadub [295]

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship  between two or more numbers and variables.

Let C represent the number of chocolate fudge bars, F represent the number of frozen fruit bars and I represent the number of ice-cream sandwiches

Hence:

0.75C + 0.85I + 0.5F ≤ 450

The inequality that shows no more than $450 is to be spent on frozen treats is 0.75C + 0.85I + 0.5F ≤ 450

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much rib
olasank [31]

Answer:

\frac{1}{15}

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}

6 0
3 years ago
What is an equation of the line that passes through the points (6,8) and (-3,2)?
Orlov [11]

Answer:

y=2/3x+4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
L= 3x+5 and width is x-3 what is the area of it? in polynomial in standard form
Studentka2010 [4]
Area of rectangle =wxl
A=(3x+5)(x-3)
A=3x^2+5x-15-9x
A=3x^2-4x-15


7 0
3 years ago
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