Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) 
= a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
Answer: 72
Step-by-step explanation: volume of a pyramid = v= lwh/3
v= 6*6*6/3
v = 216/3
v = 72
The answer is: 0.24 x 100 = 24%
The ratio of the length of each side of the triangle to that of the hexagon is
<h3>What is equilateral triangle?</h3>
The triangle which has all the three sides equal in dimension is called the equilateral triangle.
According to the question,
Area of triangle = Area of rhombus = Area of hexagon
1/2 base x height = 1/2 diagonal1 xdiagonal2 = (3√3 / 2) side²
The triangle has equal base and height = a.
The hexagon has each side measuring b.
1/2 a² = (3√3 / 2) b²
Ratio of sides of triangle and hexagon is
a²/b² = 3√3
a/b = √ 5.19615
a/b = 2.2795
Thus, the ratio of each side of the triangle to that of the hexagon is 2.2795.
Learn more about equilateral triangle.
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