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3 years ago

Wha is the nth term of 2 5 8 11 14

1 answer:

5 0

If you look at the sequence, you would observe:

5 - 2 = 3, 8 - 5 = 3, 11 - 8 = 3.

There is a common difference of 3, so the sequence is an Arithmetic Progression.

nth term of an AP = a + (n - 1)d

where a = 1st term = 2, d = common difference = 3

nth term of an AP = a + (n - 1)d

nth term of an AP = 2 + (n - 1)*3 = 2 + 3*n - 3*1 = 2 + 3n - 3

= 2 - 3 + 3n

= -1 + 3n

= 3n - 1

The nth term = 3n - 1, where n = 1, 2, 3, 4, 5,....

I hope this explains it.

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PLEASE HELP WILL MARK AS BRAINLEST

laiz [17]

It is 16 because 3x16=48 and 4x16=64!

7 0

3 years ago

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Three of exterior angle of n-sided polygon are 50° each two of it's interior angle are 127° and 135° and the remaining interior

irga5000 [103]

Answer:

The value of n is 21.

Step-by-step explanation:

We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.

As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).

And, the exterior angle = 180° - the interior angle.

So, according to the question;

$(3 \times 50) + (180-127) + (180 - 135) + (n - 5)\times (180-173) =360$

150 + 53 + 45 + 7(n - 5) = 360

248 + 7n - 35 = 360

213 + 7n = 360

7n = 360 - 213

7n = 147

n = $\frac{147}{7}$

n = 21

Hence, the value of n is 21 and this is a 21-sided polygon.

4 0

3 years ago

Help me :,)

IrinaK [193]

Answer:

The rule of the arithmetic sequence is 13 - 2n

The 30th term is -47

Step-by-step explanation:

∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2

∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n

Use n = 1 , 2 , 3 , 4 to check the type of the sequence

∵ n = 1 ⇒ 13 - 2(1) = 11

∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9

∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7

∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5

∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2

∴ The rule of the arithmetic sequence is 13 - 2n

∴ The 30th term = 13 - 2(30) = -47

5 0

3 years ago

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A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?

Advocard [28]

Answer:

The volume of the box is $V=(4x^3+16x^2+15x)\ in^3$

Step-by-step explanation:

we know that

The volume of the box is equal to

$V=LWH$

where

L is the length of the box in inches

W is the width of the box in inches

H is the height of the box in inches

we have

$L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in$

substitute in the formula

$V=(2x+5)(2x+3)x$

$V=(4x^2+6x+10x+15)(x)$

$V=(4x^2+16x+15)(x)$

$V=(4x^3+16x^2+15x)\ in^3$

6 0

3 years ago

Credit sales are collected as follows:65 percent in the month of the sale.25 percent in the month after the sale.10 percent in t

Vitek1552 [10]

Answer:

Step-by-step explanation:

a) November sales = (Total Uncollected Sales - Uncollected Sales from December) / Collection rate after two months

= ($121,100 - $87,300) / 0.20

November sales = $169, 000.00

b) December sales = Uncollected sales from December / Collection rate of the previous month sales,

Therefore: December sales = $87,300 / 0.45 = $194,000

December sales = $194,000.00

c) Each month's collection for the company are:

Collections for ech month = 0.20(Sales from 2 months ago) + 0.25(Last month's sales) + 0.55 (Current sales)

January collections = 0.20($169000.00) + 0.25($194,000.00) + 0.55($132,000)

January collections = $154,900.00

February collections = 0.20($194,000.00) + 0.25($132,000) + 0.55($149,000)

February collections = $153,750.00

March collections = 0.20($132,000) + 0.25($149,000) + 0.55($164,000)

March collections = $153,850.00

4 0

3 years ago