arithmetic sequencing
What are the next 2 numbers?
2,4,6,8,10, ...
12, 14
what is the next number?
1, 3, 9, 27, ...
81
cubed of a number increased by 15
x3+15
Given two sets A = {1, 2, 3} and B = {3, 4, 5}, what is the union of A and B?
The union of A and B is {1, 2, 3, 4, 5}.
What are the next row of numbers in Pascal's triangle?
(in the right order)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
What is the missing number?
-1, 8, __, 26, 35
17
What's the pattern in this sequence?
6, 30, 150, 750, ...
times 5, or x 5, or * 5
the square of the sum if the two numbers
(x+y)2
Let A = {1, 2, 3} and B = {2, 3, 4}. What is the intersection of A and B?
The intersection of A and B is {2, 3}.
1. Anne and Mary sells flowers of various sorts, thus owns a flower shop called Beautiful Blooms. Beautiful Blooms have 13 box of white lily, 7 dozens of pink roses, and 5 box of dahlias with 15 stems each. Anne and Mary combined 3 white lily and 3 roses, and 6 roses are to 3 dahlias, how many white lily can be combined with 6 dahlias?
given:
3 lily = 3 roses
6 roses = 3 dahlia
? lily = 6 dahlia
6 lily = 6 roses (3:3) 6 roses = 3 dahlia (6:3) 12 lily = 6 dahlia ([6*2]:6)
since 6 roses = 6 lily, and 6 roses = 3 dahlia, if we were to find how many lily is to dahlia, 3*2 = 6 dahlia and 6*2 = 12 lily
What is the pattern in this sequence?
67, 156, 245, 334, 423, ...
+89
What are the missing numbers in this sequence?
9, __, 1, 1/3, __, ...
3 and 1/9
20 multiplied by a number
20x
Write the set A = {1, 4, 9, 16, 25, . . . } in set-builder form.
A = {x : x is the square of a natural number}
Or we can write;
A = {x : x = n2 , where n ∈ N}
Priya had 16 Red Balls, 2 Green Balls, 9 Blue Balls, and 1 Multicolor Ball. If He Lost 9 Red Balls, 1 Green Ball, and 3 Blue Balls. How Many Balls would be Left?
15 balls : Red balls
RB 16-9= 7
GB 2-1= 1
BB 9-3 = 6
MB. 1
15 = 7+1+6+1
What is the 7th term of this arithmetic sequence?
7.8, 9.3, 10.8, ...
16.8
What is the 6th term of the geometric sequence
2/25, 2/5, 2, 10, ....
250
the product of 3 and a number is the square of a number
3x=x2
Write an example of equal sets.
Let there be two sets A and B
A is the set of letters in “ALLOY” B is the set of letters in “LOYAL”
Hence,
A = {A,L, O,Y} B = {L,O,Y,A} Therefore, in both sets, the elements are the same. So, A = B.
Using only an addition, how do you add eight 8’s and get the number 1000?
888 + 88 + 8 + 8 + 8 = 1000
What is the 3rd, 6th, and 8th term in this sequence?
-3.6, -1.88,__ , 1.56, 3.28, ...
-0.16, 5, and 8.44
What is the sum of infinite geometric series with first term equal to 1 and common ratio is ½?
By the formula of sum of infinite geometric series, we have;
S = a1 1/(1 – r)
S = 1. 1/(1-½)
S = 1/(½)
S = 2
The quotient of 40 and 5 decreased by 3
(40÷ 5)-3
Write the subsets of {1,2,3}.
Let A = {1, 2, 3}
The subsets of A are:
φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}
A bakery sells two types of cakes: chocolate cakes and vanilla cakes. The ratio of chocolate cakes to vanilla cakes sold is 3:5. If the bakery sold a total of 320 cakes, how many chocolate cakes were sold?
The bakery sold 120 chocolate cakes.