Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
<h3>
What is a polygon?</h3>
A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The sum of the exterior angles of a regular polygon will always equal 360
Given that;
- Exterior angle a = 25 degrees
- Exterior angle b = 146 degrees
- Exterior angle d = 149 degrees
25° + 146° + 149° + c = 360°
320° + c = 360°
c = 360° - 320°
c = 40°
The measure of angle bcd of the polygon abcd is 40°.
Hence, option b) 40° is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
#SPJ4
Answer:
√y-6
Step-by-step explanation:
36/6=6
36 is the dividend, 6 is the divisor and 6 is the quotient.
First, we need to get the total number students by adding the number of men and women. 63 + 86 = 149. This is the total number of samples. To get the probability that a randomly selected is a woman, we can write the ratio as 63:149 or the probability is 63/149.
The volume for a pyramid is
, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:
. Simplifying the right side we have
. Multiply both sides by 18 to get rid of the fraction and we have
, so x = 117.575
