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krek1111 [17]
4 years ago
6

The diagram below represents the first three terms of a sequence. Assuming the pattern continues,which formula determines an, th

e number of squares in the nth term ?

Mathematics
2 answers:
pishuonlain [190]4 years ago
8 0
The correct answer is B)a_n=3n+1

Writing the sequence numerically, we have 4, 7, 10, ...

This is an arithmetic sequence, since there is a constant, 3, added each time.  This gives us the explicit formula
a_n=4+3(n-1)

Using the distributive property, we have
a_n=4+3*n-3*1
\\
\\a_n=4+3n-3

Combining like terms, we have
a_n=3n+1
elena55 [62]4 years ago
8 0

Answer: 3n+1

Step-by-step explanation:

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I need help with this I am giving 60 points
inna [77]

Answer:

<2 ≅<4 with reason of vertical angle theorem.

Step-by-step explanation:

The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.

3 0
3 years ago
\sum_{n=1}^{\infty } ((-1^n)/n)x^n<br><br> Find the interval of convergence.
Lorico [155]

Answer:

(-1,1).

Step-by-step explanation:

We need to calculate \lim_{n \to \infty}\frac{| a_{n+1}|}{| a_{n}|} = \frac{1}{R} where R is the radius of convergence.

\lim_{n \to \infty}\frac{\frac{|(-1)^{n+1}|}{|n+1|}}{\frac{|(-1)^{n}|}{|n|}}

\lim_{n \to \infty}\frac{\frac{1}{|n+1|}}{\frac{1}{|n|}}

\lim_{n \to \infty}\frac{|n|}{|n+1|}

Applying LHopital rule we obtaing that the limit is 1. So 1=\frac{1}{R} then R = 1.

As the serie is the form (x+0)^{n} we center the interval in 0. So the interval is (0-1,0+1) = (-1,1). We don't include the extrem values -1 and 1 because in those values the serie diverges.

4 0
4 years ago
What is the equation of the line that has an x-intercept of −5?
Gwar [14]

Answer:

the only one that works is A

Step-by-step explanation:

plug in the point (-5, 0)

6 0
4 years ago
The primary interest in designing a randomized block experiment is to: ​
zmey [24]

Answer:

e. none of these

Step-by-step explanation:

Primary interest in designing randomised block experiment is to : reduce the within treatment variation, to more easily detect differences between means.

A randomised block design involves the experimenter dividing subjects into subgroups known as blocks. The blocks are designed as to reduce the variability within the blocks, compared to variability between the blocks. This intra blocks less variation & inter blocks more variation, make blocks mean well represent their differences.

7 0
4 years ago
Help me expand Expand 2a(a+7)
Evgen [1.6K]

Answer:

2a^2+14a

Step-by-step explanation:

2a*a = 2a^2

2a*7=14a

Add them up and thats your answer

7 0
3 years ago
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