Add the like terms (varibles) on both sides if their the same
9514 1404 393
Answer:
a) (2.64 -2/9 -0.35 +5/8)/4
b) perform the sum, then the division, then round as needed
Step-by-step explanation:
a) The average of a number of items is their sum, divided by the number of items. Here, we want the average of 4 changes, so we compute it as the sum of the changes divided by 4.
average change = (2.64 -2/9 -0.35 +5/8)/4
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b) My calculator is capable of adding these numbers directly. For a result rounded to the nearest hundredth, it can be a good idea to represent the fractions using at least 3 decimal digits.
So, the steps would be ...
- convert fractions to their decimal equivalents, using 3 decimal digits
- add up the values
- divide by 4
- round to hundredths
Performing these steps, we get ...
average change = (2.64 -0.222 -0.35 +0.625)/4 = 2.693/4
average change ≈ 0.67 . . . degrees
The average daily temperature change of a city was 0.67 degrees.
<u>1/2 value</u><u> can be used as the </u><u>common ratio</u><u> in an explicit formula that represents </u><u>the sequence.</u>
Definition of sequence -
- The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
- A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by

Where
= nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = 
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
Learn more about sequence
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Here is the answer worked out step by step. Hope this helps!