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lesya692 [45]
3 years ago
11

What is the explicit rule for the arithmetic sequence shown in the graph?​

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

Step-by-step explanation:

Looking at the given graph, the slope of the line is expressed as

Slope = (y2 - y1)/(x2 - x1)

y2 = 19.5

y1 = 9.5

x2 = 6

x1 = 1

Slope = (19.5 - 9.5)/(6-1)

Slope = 10/5 = 2

The successive terms is increasing by 2

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a is the first term of the sequence

n is the number of terms in the sequence.

d is the common difference.

From the information given,

a = 9.5

Tn = an

d = 2

The explicit rule for the arithmetic sequence will be

an = 9.5 + 2(n-1)

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1 year ago
If a4 = 625, what does (a) equal?
Reika [66]

I'm assuming you meant to write a^4 = 625.

If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2

So we go from this

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3 years ago
John's car is stopped at a red light. When the light changes, the car accelerates to 45 miles per hour in 15 seconds. What is th
Ede4ka [16]
Initial velocity of John's car (V1) = 0 miles per hour
Final velocity of John's car (V2) = 45 miles per hour
Time taken for acceleration = 45 seconds
Then
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5 0
3 years ago
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What is the area of the composite figure?
7nadin3 [17]
Divide the figure into 3 shapes
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middle trapezoid
bottom rectangle

so
Area of figure 
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= 100 + 44 + 120
= 264

answer
264 cm^2
4 0
3 years ago
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