Answered

Calculators may be used.

(a) [tex]$8 ; 10 ; 14 ; 20 ; 28$[/tex]

(b) [tex]$21 ; 15 ; 10 ; 6 ; 3$[/tex]

(c) [tex]$1 ; 1 ; 3 ; 15 ; 105$[/tex]

(d) [tex]$1 ; 1 ; 2 ; 3 ; 5 ; 8$[/tex]

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Read the instructions and create your own number patterns.

(a) Start with the number 4. Add 6 to this to get the next number in the sequence [tex]\((4+6=10)\)[/tex]. Now add 6 to this number to get the next number in the sequence [tex]\((10+6=16)\)[/tex]. Write down the first five numbers in this sequence.

(b) Start with the number 2. Multiply it by 3 to get the next number in the sequence. Continue multiplying by 3 until you have five numbers in the sequence.



Answer :

GinnyAnswer
Sure, let's create the sequences step by step according to the instructions.

### Part (a): Addition Sequence

1. Starting number: 4
2. Rule: Add 6 to the previous number to get the next number.

Let's calculate the sequence:

- Start with 4.
- Add 6 to 4 to get the next number: [tex]\( 4 + 6 = 10 \)[/tex]
- Add 6 to 10 to get the next number: [tex]\( 10 + 6 = 16 \)[/tex]
- Add 6 to 16 to get the next number: [tex]\( 16 + 6 = 22 \)[/tex]
- Add 6 to 22 to get the next number: [tex]\( 22 + 6 = 28 \)[/tex]

The first five numbers in this sequence are: 4, 10, 16, 22, 28.

### Part (b): Multiplication Sequence

1. Starting number: 4
2. Rule: Multiply the previous number by 3 to get the next number.

Let's calculate the sequence:

- Start with 4.
- Multiply 4 by 3 to get the next number: [tex]\( 4 \times 3 = 12 \)[/tex]
- Multiply 12 by 3 to get the next number: [tex]\( 12 \times 3 = 36 \)[/tex]
- Multiply 36 by 3 to get the next number: [tex]\( 36 \times 3 = 108 \)[/tex]
- Multiply 108 by 3 to get the next number: [tex]\( 108 \times 3 = 324 \)[/tex]

The first five numbers in this sequence are: 4, 12, 36, 108, 324.

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