Math  /  Numbers & Operations

Question2. Use the pattern rules to write out the first 5 numbers in the pattern ( 4 marks) a. Start at 175 and subtract 4 each time. b. Start at 88 and add 30 each time.

Studdy Solution

STEP 1

What is this asking? We need to find the first five numbers in two sequences, one starting at 175 and decreasing by 4, and the other starting at 88 and increasing by 30. Watch out! Don't accidentally add when you should subtract, or vice-versa!
Also, make sure you find exactly *five* numbers in each sequence.

STEP 2

1. Decreasing Sequence
2. Increasing Sequence

STEP 3

Alright, let's **dive** into the first sequence!
We're starting with the **initial value** of 175175 and subtracting 44 each time.
Think of it like taking away 44 cookies from a jar of 175175 cookies.

STEP 4

Our **first number** is 175175.
The **second number** is 1754=171175 - 4 = 171.
We're taking away those 44 cookies!

STEP 5

The **third number** is 1714=167171 - 4 = 167.
Keep going!
We're on a roll!

STEP 6

The **fourth number** is 1674=163167 - 4 = 163.
Almost there!

STEP 7

The **fifth number** is 1634=159163 - 4 = 159.
High five!
We found the first five numbers!

STEP 8

Now, let's **tackle** the second sequence!
This time, we're starting at 8888 and adding 3030 each time.
Imagine we're adding 3030 marbles to a bag that already has 8888 marbles.

STEP 9

Our **first number** is 8888.
The **second number** is 88+30=11888 + 30 = 118.
More marbles!

STEP 10

The **third number** is 118+30=148118 + 30 = 148.
Keep adding those marbles!

STEP 11

The **fourth number** is 148+30=178148 + 30 = 178.
We're getting so many marbles!

STEP 12

The **fifth number** is 178+30=208178 + 30 = 208.
Woohoo! We found the first five numbers in this sequence too!

STEP 13

For the sequence starting at 175 and subtracting 4, the first five numbers are 175, 171, 167, 163, and 159.
For the sequence starting at 88 and adding 30, the first five numbers are 88, 118, 148, 178, and 208.

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