The number of red beads are increasing by 2 for each new pattern
The next number of reds will be 12. ( in patern 5)
number of blue beads in pattern 5 will be 15 ( increasing by 3 )
nth term for red = 4 + 2 (n-1) ( its an arithmetic sequence)
nth term for blue = 3 + 3(n - 1) - as above ,arithmetic.
Total beads in pattern 45 is
No. red beads in pattern 26 = 4 + 2(26-1) = 4 + 50 = 54
No blue beads in pattern 60 = 3 + 3(59) = 180
Total number of beads in pattern 45 is:-
4 + 2(44) + 3 + 3(44) = 227
The rule for regular polygons are very easy. The number of reflectional symmetries is same as the number of sides. Regular polygons have all sides the same length and all angles same. Reflection symmetry means that you can fold the shape along that line and it will match up.
For this question, we want the number of reflectional symmetries of a regular decagon. Decagon is a 10 sided figure. Hence, the number of reflectional symmetries is 10.
There are 5 symmetry lines from one vertex to opposite vertex and 5 more symmetry lines form midpoint of one side to midpoint of opposite side.
ANSWER: 10
You multiply vectors and scalar simply by multiplying each component by that scalar:
Finally, you sum two vectors by summing the correspondent coordinates:
Answer:
option D is true.
Step-by-step explanation:
Given the sequence
7, 12, 17, 22, ...
An arithmetic sequence has a constant difference 'd' and is defined by
Computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same
so
as
Thus, the nth term of the arithmetic sequence will be:
Therefore, option D is true.
