i need help with math!question: (Rule 1: Multiply by 2 starting at 10. Rule 2: Subtract 4 starting from 24. What is the first term that appears in both sequences?)

Respuesta :

SOLUTION:

Case: Comparing sequences

Given: Two rules for sequences

Required: To compare sequences. Checking which term appears first

Method: Checking for sequence

Rule 1. Multiply by 2 starting at 10

[tex]\begin{gathered} 10,\text{ (10}\times2),\text{ (10}\times2\times2)\ldots \\ 10,20,40\ldots \end{gathered}[/tex]

Rule 2. Subtract 4 starting from 24

[tex]\begin{gathered} 24,\text{ (24-4), (24-4-4)}\ldots \\ 24,\text{ 20, 16}\ldots \end{gathered}[/tex]

Final answer:

The final answer is 20