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3 years ago

In arithmetic sequence the first term is 5 and the common difference is 4. Determine the 6th term of sequence

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

3 0

Answer:

The 6th term of the sequence is 25

Step-by-step explanation:

first term = a = 5

common difference = d = 4

The nth term of a sequence is

T_n = a + (n - 1)d

Therefore, the 6th term of the sequence is

T_6 = a + (6 - 1)d

T_6 = a + 5d

T_6 = 5 + 5(4)

T_6 = 5 + 20

T_6 = 25

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Viola is helping to plant a rectangular community garden a plant handbook states that 1 plant requires 8 square inches of soil g

Zigmanuir [339]

Answer:

252 plants

Step-by-step explanation:

First of all, calculate the area of the garden bed.

24 x 84 = 2016 inches squared

now, divide your answer by 8 (the amount of space needed for each plant)

2016 ÷ 8 = 252

I HOPE THIS WAS HELPFUL :-)

4 0

3 years ago

Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive

navik [9.2K]

Answer:

The explicit formula

$a_n = 3 +0.25 (n-1)$

The recursive formula

$a_1 = 3$ for $n=1$

$a_n = a_ {(n-1)} +0.25$ if $n>1$

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

$3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25$

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

$a_n = a_1 + d (n-1)$

Where d is the constant difference between the terms.

$d = 0.25$

$a_1$ is the first term of the sequence.

$a_1 = 3$

$a_n = 3 +0.25 (n-1)$

Finally, the recursive formula is:

$a_1 = 3\\\\a_n = a_ {(n-1)} +0.25$

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3 years ago

The volume of a rectangular prism is given by the formula V = lwh, where / is the length of the prism, w is the width, and his

Vedmedyk [2.9K]

The answer would be option D.
10a^3 + 91a^2 + 54a - 792

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3 years ago

Tiana takes 3 hours to drive to the coast without stopping. How many minutes will it take her to reach the coast if she stops to

nika2105 [10]

3 hours is 180 minutes.

She rested for 20 additional minutes, thus it will take her 200 minutes.

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3 years ago

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Write 7/50 as a percentage

klio [65]

Answer:

14%

Step-by-step explanation:

To change a fraction to a percentage multiply fraction by 100%, that is

$\frac{7}{50}$ × 100% = 7 × 2% = 14%

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3 years ago

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