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I am Lyosha [343]
3 years ago
14

Find the 72nd term of the arithmetic sequence -27, -11, 5, ...

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

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Write the explicit formula for the arithmetic sequence 11, 14, 17, 20, . . . What is term number 54 in this sequence?
Natalka [10]

Answer:

15 or 16. 54 is not listed.

Step-by-step explanation:

pretend that 11 is 0. that means 54 is 43.

then you do 43 divided by 3 or 43/3  

but looks like the number 43 isn't divisible. it is 14.33333 repeating decimal.

Same if you really use your time and count. So i dont know if u meant 53 it will be 53 if you meant 56 it will be 16.

8 0
4 years ago
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Find the greatest common factor of 18 and 35. <br>​
xxMikexx [17]

Answer:

1

Step-by-step explanation:

We need to find the factors of 18 and 35

Breaking into prime factors

18 = 2*9 = 2*3*3

35 = 5*7

There are no common factors so the greatest common factor is 1

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4 years ago
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Which of the following equations is equivalent to 7y+6=36, but written only in terms of x?
hodyreva [135]

Answer:

14x + 7 = 30

Step-by-step explanation:

Given

7y + 6 = 36 and y = 2x + 1

substitute y = 2x + 1 into 7y + 6 = 36 , that is

7(2x + 1) + 6 = 36 ( subtract 6 from both sides )

7(2x + 1) = 30 ← distribute parenthesis on left side by 7

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6 0
3 years ago
Find the cost of carpeting a 9 foot by 12 foot room at $30 per square yard.
S_A_V [24]
Area = length X width
A = L(12 ft) x W(9 ft) but since the cost of carpet is given in square yards not square feet we need to convert
A = (12 ft)(1 yd/3 ft) x (9 ft)(1 yd/3 ft) 1 yard = 3 feet so 1 foot = 1/3 yard
A = 4 yd x 3 yd divide by 3 ft which cancels the original ft and leaves yd's
A = 12 square yards
Cost = Area x price per yard
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8 0
2 years ago
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A positive number is multiplied by itself and then 7 is added. The answer is 16. What is the number?
Alika [10]

Answer:

c

Step-by-step explanation:

let the number be n then multiplied by itself gives n², thus

n² + 7 = 16 ( subtract 7 from both sides )

n² = 9 ( take the square root of both sides )

n = \sqrt{9} = 3

5 0
4 years ago
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