Question

A = { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100} Write the given sets using rule method.

Answer 1

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

The logic is behind  

This series is a square root

Step-by-step explanation:

A square root of a number is a value that, when multiplied by itself, gives the number.

(1)2=1*1=1

(2)2=2*2=4

(3)2=3*3=9

(4) 2=4*4=16

(5)2=5*5=25

(6)2=6*6=36

(7) 2=7*7=49

(8)2= 8*8 =64

(9)2= 9*9 =81

(10)2=10*10=100

(11)2=11*11=121

(12)2=12*12=144

(13)2=13*13=169

(14)2=14*14=196

(15)2=  15*15=225

(16)2=   16*16=256

The new series become,

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 225, 256 etc….

Answer 2

Answer:

A = {n² : n is an integer and -10≤n≤10 but n ≠ 0 }

Step-by-step explanation:

A = { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

1 = 1²  = (-1)²

4 = 2² = (-2)²

9 = 3² = (-3)²

16 = 4² = (-4)²

25 = 5² = (-5)²

36 = 6² = (-6)²

49 = 7² = (-7)²

64 = 8² = (-8)²

81 = 9² = (-9)²

100 = 10² = (-10)²

A = {n² : n is an integer and -10≤n≤10 but n ≠ 0 }