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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:
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Answer :
The Australian Constitution is the set of rules by which Australia is run. It came into effect on 1 January 1901. This fact sheet summarises the key features of the Constitution and how it can be changed. Commonwealth of Australia Constitution Act, 1900: Original Public Record Copy (1900).
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
Common ratio =
The common difference applies to the other given numbers for example :
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
<span>if you multiply 1/8 by 4, the fraction become 4/32, and if you multiply 1/4 by 8 you get 8/32.Since both fractions have the same denominator, we can find which fraction has the greater value. Since 1/4(8/32) has a greater numerator, the 1 pound of lead will have a larger value.</span>
