Activity 1: Number Sequence

Let's build some sequences. The terms of the sequences will be obtained by addition, subtraction, multiplication, or division of the given number. Sequence 1 (+5): (3, ___, ___, ___, ___, ___, ___, ___, ___, ___) Fill in the blanks with the correct numbers in the sequence.

• (3, 8, 13, 18, 23, 28, 33, 38, 43, 48)

• (3, 6, 9, 12, 15, 18, 21, 24, 27, 30)

• (3, 5, 7, 9, 11, 13, 15, 17, 19, 21)

• (3, 10, 17, 24, 31, 38, 45, 52, 59, 66)

Observe as sequências e complete-as: Sequência 1: (6, 11, 16, 21, 26, 31, ___)

• 36

• 37

• 35

• 33

Observe as sequências e complete-as: Sequência 2: (1, 4, 9, 16, 25, 36, ___)

• 49

• 48

• 45

• 40

Observe as sequências e complete-as: Sequência 3: (1, -2, 4, -8, 16, -32, ___)

• 64

• -64

• 32

• -16

Observe as sequências e complete-as: Sequência 4: (5, 7, 9, 11, 13, ___)

• 15

• 14

• 17

• 12

Observe as sequências e complete-as: Sequência 5: (12, 8, 4, ___)

• 0

• 2

• -2

• 6

Observe as sequências e complete-as: Sequência 6: (-35, -30, -25, ___)

• -20

• -15

• -10

• -22

Observe the situation described in the table below, and complete it. According to the problem, each pair of rabbits reproduces for the first time at two months old, and then produces a new pair every month. The number of pairs each month forms a sequence where each term, after the first two, is the sum of the two immediately preceding terms.

Month: 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | 9th | 10th | 11th | 12th
Number of pairs: 1 | 1 | 2 | 3 | 5 | ___ | ___ | ___ | ___ | ___ | ___ | ___

Fill in the number of pairs for the 6th month.

• 8

• 6

• 10

• 7

Em uma Progressão Aritmética (P.A.), qual é o termo que, adicionado ao termo anterior, resulta no termo seguinte?

• Razão (r)

• Primeiro termo (a₁)

• Número de termos (n)

• Termo geral (aₙ)

According to the passage, who was Carl Friedrich Gauss?

• A) A famous artist

• B) A mathematician, astronomer, and physicist

• C) A school teacher

• D) A musician