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strojnjashka [21]
3 years ago
6

(repost) Can someone please help me with this asap!!!

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

1) y = 30x (same thing as y = 30x + 0)

2) y = 24x (same thing as y = 24x + 0)

3) 270

4) 216

Step-by-step explanation:

Hope this helps :)

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A. [4 marks]
storchak [24]

The value of d is -2

Step-by-step explanation:

The nth term of the arithmetic sequence is u_{n}=u_{1}+(n-1)d , where

  • u_{1} is the first term
  • d is the common difference between each 2 consecutive terms

The nth term of the geometric sequence is u_{n}=u_{1}r^{n-1} , where

  • u_{1} is the first term
  • r is the common ratio between each two consecutive terms r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∵ u_{1} of an arithmetic sequence is 1

∵ The common difference is d, where d ≠ 0

∵ u_{2} , u_{3} , u_{6} are the first 3 terms of a geometric sequence

∵ u_{2} = 1 + (2 - 1)d

∴ u_{2} = 1 + d

∵ u_{3} = 1 + (3 - 1)d

∴ u_{2} = 1 + 2d

∵ u_{6} = 1 + (6 - 1)d

∴ u_{2} = 1 + 5d

∴ The first 3 terms of the geometric sequence are (1 + d) , (1 + 2d) ,

   (1 + 5d)

∵ The common ratio in the geometric sequence is r=\frac{u_{2}}{u_{1}}=\frac{u_{3}}{u_{2}}

∴ r=\frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

- Use cross multiplication with the equal fractions

∵ \frac{1+2d}{1+d}=\frac{1+5d}{1+2d}

∴ (1 + 2d)(1 + 2d) = (1 + d)(1 + 5d)

∴ 1 + 2d + 2d + 4d² = 1 + 5d + d + 5d²

- Add like terms in each side

∴ 1 + 4d + 4d² = 1 + 6d + 5d²

- Subtract 1 from both sides

∴ 4d + 4d² = 6d + 5d²

- Subtract 4d from both sides

∴ 4d² = 2d + 5d²

- Subtract 4d² from each side

∴ 0 = 2d + d²

- Take d as a common factor

∴ 0 = d(2 + d)

- Equate each factor by 0

∴ d = 0 but we will reject it because d ≠ 0

∴ 2 + d = 0

- Subtract 2 from both sides

∴ d = -2

The value of d is -2

Learn more:

You can learn more about the sequence in brainly.com/question/1522572

#LearnwithBrainly

7 0
3 years ago
Due for 10:00am need help​
Sveta_85 [38]

Answer:

y=9b to the second power t over m

Step-by-step explanation:

should look like this

y=9b^2t/m

6 0
3 years ago
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will
ozzi

Answer:

94.7

Step-by-step explanation:

15.50+10*0.99*8

4 0
3 years ago
Which is greater 99.04 or 99.040​
Alexeev081 [22]

Answer:

99.04

=

99.04

Step-by-step explanation:

8 0
3 years ago
Y= 5x+2 linear equation
dem82 [27]

Answer:

HI

Step-by-step explanation:

3 0
2 years ago
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