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3 years ago

The general term of a sequence is given by an = 7+3 (n − 1) for n > 1.

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer:

The fifth term is 8.

Step-by-step explanation:

Give n=5 in the general term

T 5=3(5)-7 = 15–7 =8

Another method

Tn = 3n - 7

T 1 = 3(1)-7 = -4

T 2 = 3(2) -7= -1

d= t 2 - t 1 = -1 -(-4)=3

a = -4 d=3

Tn = a + (n-1)d =

T 5 = a + (5–1)d = a +4 d = -4 +4(3)= 8

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Alja [10]

He uses 15 gallons. Because 270/6 = 45. Meaning he drives 45 miles per gallon. So 675/45=15. 15 gallons he will need to use to drive 675 miles.

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3 years ago

Suppose that the amount of algae in a pond doubles every 6 hours. if the pond initially contains 50 pounds of algae, how much al

bulgar [2K]

Answer:

A. 400

Step-by-step explanation:

initially have 50 pounds after 6 hours, doubles to 100. 6 (12 total) more hours 100 doubles to 200. after another 6 (18 hours) 200 doubles to 400.

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3 years ago

Order 27.657, 27.658, 27.558, and 27.659 in decreasing order.<br><br> Thx-Kheri Moore

Vikki [24]

Answer:

The answer is

1. 27.659

2. 27.658

3. 27.657

4. 27.558

Step-by-step explanation:

Decreasing order is greatest number to the least.

I really hope this helps

4 0

2 years ago

Read 2 more answers

What divided by 8 to equal 3

blsea [12.9K]

Answer:

Nothing

Step-by-step explanation:

You can't divide 8 to equal 3 because 3 is an odd number and 8 is an even number.

5 0

2 years ago

Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

$=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}$

$=\sqrt{6^2+1}$

$=\sqrt{36+1}$

$=\sqrt{37}$

$d_{AB}\:=\sqrt{37}$

$d_{AB}=6.08$ units

Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

$d_{JK}=5$ units

Given the vertices of the segment GH

G(-5, -2)

H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

$=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}$

$=\sqrt{3^2+0}$

$=\sqrt{3^2}$

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

Thus, from the calculations, it is clear that:

$d_{AB}=6.08$

$d_{JK}=5$

$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

8 0

3 years ago