4
<span> ∑ [100(−4)n−1]
n=1
Once again, since this is summation notation:
</span>Start at the number on the bottom. Plug in that number to the equation on the right, plug in the next number into the equation on the right, and so on, until you get to the number on top. Plug in that final number, and after you get the solution, add all the solutions you have all together.
<span>One thing though: <span>the bottom number cannot be bigger than the number on top.
</span></span>
n=1; 100 x (-4) x (1) - 1 = -401
n=2; 100 x (-4) x (2) - 1 = -801
n=3; 100 x (-4) x (3) - 1 = -12001
n=4; 100 x (-4) x (4) - 1 = - 16001
-401-801-12001-16001 = -29204
Negative numbers are integers.The set of integers include negative numbers, positive numbers, and zero
Multiply the x values by -1/2, and then add three, that will give you the y values
The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.
15, 22, 29,...
The first term a = 15
The common difference d = 22 - 15 = 7
a(n) = 15 + (n - 1)7
a(n) = 7n + 8
Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
Learn more about the sequence here:
brainly.com/question/21961097
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