👽 Alien Message Decoder 👽

Unlocking the Alien Code!

Let's break down each part of the message:

• Symbol Pattern: The symbols repeat every 3 terms: ▲, ■, ●, then back to ▲, ■, ●, and so on.
  • Term 1: ▲
  • Term 2: ■
  • Term 3: ●
  • Term 4: ▲ (repeats)
• Number Pattern: The numbers increase by 2 each time (an arithmetic progression): 3, 5, 7, 9, 11, 13, 15, 17...
  • Term 1: 3
  • Term 2: 5
  • Term 3: 7
  • Term 4: 9

Solving the Questions:

1. What will the 5th Alien Message look like?

• Symbol: After ▲, the sequence continues with **■** (Term 5 is (5-1) % 3 = 1, so the second symbol).
• Number: The number pattern is 3 + (n-1) * 2. For Term 5: 3 + (5-1) * 2 = 3 + 4 * 2 = 3 + 8 = **11**.

So, the 5th message is **■ 11** (Option A).

2. What is the number in the 8th Alien Message?

• Using the number formula (3 + (n-1) * 2) for n=8:
• 3 + (8-1) * 2 = 3 + 7 * 2 = 3 + 14 = **17**.

3. If a message contains the number 17, what symbol does it have?

• First, find which term number has 17.
  17 = 3 + (n-1) * 2
  14 = (n-1) * 2
  7 = n-1
  n = 8. So, it's the **8th term**.
• Now find the symbol for the 8th term. The symbol pattern repeats every 3 terms.
  Term 1: ▲
  Term 2: ■
  Term 3: ●
  Term 4: ▲
  Term 5: ■
  Term 6: ●
  Term 7: ▲
  Term 8: **■**

So, a message with number 17 has the **■** symbol.