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Alex Ar [27]
3 years ago
15

The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?

Mathematics
1 answer:
snow_tiger [21]3 years ago
4 0

Answer:

uₙ₊₁ = uₙ + ¹/₂

Step-by-step explanation:

uₙ₊₁ = uₙ + d

u₈ = 3

u₁₀₀ = 49

We can establish the following:

u₉ = 3 + d

u₁₀ = (3 + d) + d = 3 + 2d

u₁₁ = (3 + 2d) + d = 3 + 3d

so...

u₈₊ₐ = 3 + ad

u₁₀₀ = u₈₊₉₂ = 3 + 92d

3 + 92d = 49

92d = 46

d = ¹/₂

∴ uₙ₊₁ = uₙ + ¹/₂

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Answer:

4^9

Step-by-step explanation:

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3 years ago
Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)
Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)

= -44 + 16n + 6n - 27

= -44 + 22n - 27

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7 0
3 years ago
Read 2 more answers
A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

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6 0
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What is sela's speed in yards per minute if her speed is 24 miles per hour
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8 0
4 years ago
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Can anyone help me with this?<br>complete the table of values of <br>f(x) = 3×​
n200080 [17]

Answer:

See sample table below.

Step-by-step explanation:

The function is given as :

f(x) = 3ˣ

A table of values can be formed as ;

x                <u>calculations</u>           f(x)

-4               3⁻⁴                          0.0123

-3               3⁻³                          0.0370

-2               3⁻²                          0.1111

-1                3⁻¹                           0.3333

0                 3⁰                            1.000

1                  3¹                             3.000

2                 3²                             9.000

3                 3³                              27.00

4                 3⁴                              81.00

8 0
3 years ago
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