The rule for sequence is:

Step-by-step explanation:
To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence
So
We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.
So,
Here

The common difference is same so the sequence is an arithmetic sequence.
The explicit formula for an arithmetic sequence is:

Putting the values of d and a_1 we get,

Hence,
The rule for sequence is:

Keywords: Functions Rule, Arithmetic sequence
Learn more about arithmetic sequence at:
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Collapse the logarithms into one:

Then write both sides as powers of 3:


Simplify the left side and solve for
:



But we're not done yet. Notice that both
and
are negative when
. We can't take the logarithm of a negative number (the result isn't real-valued, anyway), so we throw this solution out, and we're left with just

The formula to find the perimeter of a rectangle is

When we put in our givens to this formula:

Combine x values:

Simplify right side:

Isolate x, by dividing both sides by 10:

To find length:

For width:

To solidify our answers:

So, our length is 153, our width is 102.
Difference of two squares is of the form (a + b)(a - b) or vice-versa. Here, a = -5x and b = 3.
(-5x - 3)(-5x + 3)
Answer: 3
Answer:
i think its quadratic
Step-by-step explanation: