Step-by-step explanation:
The answer is option b.
Explanation in the pic.
Need any other maths, feel free!!
Given:
The given sequence is:

To find:
The recursive formula for
, the nth term of the sequence.
Solution:
We have,

Here, the first term is 5.



The common difference is -7.
The recursive formula for the nth term of the sequence is

Where,
is the common difference.
Putting
in the above formula, we get


Therefore, the recursive formula for the nth term of the sequence is
.
First we have to find how much water leaked
5galllons-3 gallons=2 galllos of water leaked
Now we know

Finally we can simplify it

- its the answer
Answer:
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Step-by-step explanation:
1. 
2.
<em>factoring 96</em>
<em>since
</em>
3. 
<em>using exponent rule -
</em>
<em>
</em>
4. 
<em>doing some simple simplification and
and 6=2*3</em>
5. 
<em>collecting the roots on one side and applying exponent rule</em>
6. 
<em>Applying exponents rule on all
and
</em>
<em>7.
</em>
<em>combining all powers of 2</em>
8. 
<em>Simplifying</em>
9. 
10. 
11. 
1: 0.5 and 50%
2: .2 and 20%
3: .75 and 75%
10: (1/10) and 10%
11: (3/5) and 60%
12: (1/4) and 25%