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Mariana [72]
3 years ago
7

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer:

68

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

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In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
Svetach [21]

Answer:

PR5T represents <em>6754.</em>

P = 6

R = 7

T = 4

Y = 5

Step-by-step explanation:

Let us try to understand the subtraction starting from the unit's digit.

   P R 5 T

-  4 7 Y 6

-----------------

    1 9 9 8

To get 8, 6 should be subtracted from 14

14 - 6 = 8

So, T should be equal unit digit of 14 <em>i.e.</em> T = 4 and 1 should be carried over from the ten's digit of PR5T.

Now, let us move to ten's digit:

   P R 5 4

-  4 7 Y 6

-----------------

    1 9 9 8

To get 9, 6 should be subtracted from 15. But 1 is already carried to unit's place So, we have actually 14 here

14 - Y = 9

So, Y = 5

Moving to hundred's place:

R - carry - 7 = 9

Carry is 1, so R = unit's place of 9 + 8 i.e. R = 7

Moving to thousand's place:

P - carry - 4 = 1

Here carry is 1

So, P = 1 + 4 + 1 = 6

So, the number PR5T is <em>6754.</em>

5 0
3 years ago
Given the function f(x)= e^3x, write an expression that represents the derivative of f using the limit shown below.
Nimfa-mama [501]

Answer:

f'(x)=6x+8

Step-by-step explanation:

8 0
3 years ago
What numbers add to 33 and muliplies to 75
labwork [276]
<span>33 =1, 3, 11, 33 
75</span><span>=1, 3, 5, 15, 25, 75</span>
6 0
3 years ago
HELPPP PLS SHOW WORK
expeople1 [14]

Answer:

61

Step-by-step explanation:

1. let the unknown be x

2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X

3. this implies that X=75-14

4. therefore X= 61

7 0
2 years ago
3/x^2-1 - 2(x+3) = 5/x+1
weqwewe [10]

Answer:

X=1.132589

Step-by-step explanation:

If im correct the answer would be x=1.132589

3

x2−1

−2(x+3)=

5

x+1

3

(x+1)(x−1)

+−2x−6=

5

x+1

Multiply all terms by (x+1)(x-1) and cancel:

3+(−2x−6)(x+1)(x−1)=5(x−1)

−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)

−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)

−2x3−6x2−3x+14=0

(Use cubic formula)

x=1.132589

And dont forget to check your answer

3 0
3 years ago
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