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nirvana33 [79]
3 years ago
9

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term.
10, 11, 12, 13
Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

9 + n

Step-by-step explanation:

Well it's an arythmetic sequence, so it will look like:

a + d\cdot n

Note that the first element is:

a + d\cdot 1

and the second element is:

a + d \cdot 2

So the difference between the two gives us d!

d = 11 - 10 = 1

Now let's find the a:

a + d\cdot 1 = 10\\a + 1 \cdot 1 = 10\\a + 1 = 10\\a = 9

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Answer:

(x-1)²+(y-3)²=65

Step-by-step explanation:

the common view of the equation of a circle is:

a) (x-a)²+(y-b)²=r², where (a;b) - the centre of the required circle, r - the radius of the required circle;

b) using the coordinates of the endpoint of the given diameter it is possible to calculate the coordinates of the centre of the required circle and its radius²:

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the coordinate y of the required circle is: (2+4)/2=3.

the radius² of the required circle is:

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c) after the substitution the values of 'a'; 'b' and 'r²' into the common equation of the circle:

(x-1)²+(y-3)²=65.

PS. additional: the given points (9;2) and (-7;4) belong to the final equation, if to substitute their coordinates into it.

The suggested way of solution is not the only one.

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3 years ago
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