a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The general form for arithmetic sequence is:

Putting the values for a_1 and d

<u>a) Find a15</u>

<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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Answer:
The surface area of the square pyramid is 280 square meters.
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
Answer:
It costs $154.88 to build the fences.
Step-by-step explanation:
Perimeter of square = 
We are given that A garden is in the shape of a square with a perimeter of 56 feet.
So,
Side =
So, Side of square park = 14 feet
One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.
Outer length = 14+2+2=18 feet
So, Perimeter of outer fence = 
Cost of fencing 1 foot = $1.21
Cost of fencing 56 feet =
Cost of fencing 72 feet = 
Total cost = 67.76+87.12=154.88
Hence It costs $154.88 to build the fences.