A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
1 answer:
You might be interested in
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:
Therefore we come to a conclusion that,
Gregory's Rectangle is in Area.
Step-by-step explanation:
Given:
Fiona draws a 24 centimeter rectangle.
Gregory draws a 24 square inch rectangle.
To Find:
Whose rectangle is in area = ?
Solution:
Rectangle has a dimension as
Length and Width which are in meters, centimeters, inches, feet, units, etc.
For Area
here units are getting Multiplied so it becomes
unit × unit = unit² = square units
m × m = m² =square meter
inch × inch = inch² =square inches
Hence Area is calculated in square units.
Therefore we come to a conclusion that,
Gregory's Rectangle is in Area.