Write a recursive formula for the sequence -1,-2,-3,-4...

Mathematics

1 answer:

myrzilka [38]4 years ago

7 0

Answer:

f(1) = -1

f(n) = f(n-1) -1

Step-by-step explanation:

The first term is -1. Each term is 1 less than the previous. These equations say that.

f(1) = -1

f(n) = f(n-1) -1

You might be interested in

If you were to add all odd numbers between 1 and 11 (both inclusive), the result would be

saveliy_v [14]

The sequence of all odd numbers between 1 and 11 (both inclusive) is
1,3,5,7,9,11

This is an arithmetic sequence with common difference of d=2
The first term is a₁=1.

The number of the term 11 (without counting) is found from
1 + (n-1)*2 = 11
1 + 2n - 2 = 11
2n -1 = 11
2n = 12
n = 6

The sum of the first n terms of an arithmetic sequence is
$S_{n} = \frac{n(a_{1}+a_{n})}{2}$

Therefore, the sum of the sequence is
S₆ = [6*(1 + 11)]/2
= (6*12)/2
= 36

Answer: 36

3 0

3 years ago

Consider the definition of a dilation. A dilation is a transformation that can change the size of a polygon but leaves the shape

defon

Answer:

<h2>The ratios will be equal to the scale factor.</h2>

Step-by-step explanation:

Dilation transforms an image to a different size.

In Dilation, the shape of the image remain same, but the size of the figure change as per the scale of the Dilation.

As per example, if the scale factor of Dilation is 2, then the area of the dilated figure = $2\times \ area of the original image$ .