Answer:
<h2>
<em>7</em><em>2</em><em>.</em><em>9</em><em>°</em></h2>
<em>sol</em><em>ution</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>
Answer:

Step-by-step explanation:
Let

We factor 2 to obtain;

We factor the polynomial within the parenthesis by grouping.



We apply difference of two squares on the second factor: 

We now compare to;

It is now obvious that 
2:3 is equivalent to 0.666 repeating
If you have any further questions feel free to ask.
Hope this helps.
The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:


General term of the arithmetic sequence.
, where d is the common difference.
d = 3

Put n = 2 in
, we get



Put n = 3 in
, we get



Put n = 4 in
, we get



Put n = 5 in
, we get



The first five terms of the sequence are 1, 4, 7, 10, 13.