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PIT_PIT [208]
3 years ago
8

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

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Answer:

no

Step-by-step explanation:

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4 years ago
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When looking at a decimal number (ex. 6.349821477...) what are some of the characteristics that will help you identify if the nu
quester [9]

Answer:

To determine whether a decimal is rational or not, you need to know that...

Irrational numbers don't end and have no pattern whereas rational numbers are the complete opposite. Rational numbers end and have a repeating pattern.

Step-by-step explanation:

Here are examples of irrational numbers:

0.9384903204..... , π , √2

Examples of rational numbers:

0.777777... (is rational because it has a repeating pattern of 7) , √49

Hope this helps :)

5 0
3 years ago
A sign at a bakery show s8 cookies for $10 and 12 cookies for $16. Find the unit price to the nearest cent (hundtreth) for each
Alja [10]

Answer:

8 cookies: 1 cookie =$1.25

12 cookies: 1 cookie =$1.33

Step-by-step explanation:

The formula for price per unit is : \frac{price}{unit}

Lets first work out the price per unit for the 8 cookies. You can do this by dividing the price of 10 by the amount of 8, this gives you $1.25. This means that the price per cookie is $1.25.

Now to work out the price per cookie for 12 cookies. You can do this by dividing the price of 16 by the amount of 12, this gives you $1.33. This means that the price per cookie for this offer is $1.33.

1) Divide 10 by 8.

10/8=1.25

2) Divide 16 by 12.

16/12=1.33

3 0
4 years ago
Wich graph matches the equation y+3=2(x+3)
never [62]

Answer:

The leftmost graph [with the points (-3,-3) and (0,3)]

Step-by-step explanation:

y+3=2(x+3)

y+3=2x+6

y=2x+3

The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).

Hope this helps! (:

7 0
2 years ago
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Viktor [21]

Step-by-step explanation:

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5= x^2 +4

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1 = x^2

take the square root on both sides

- 1 or 1 = x

5 0
3 years ago
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