C. Progressions
A
sequence is a set of numbers arranged in a definite order.
The numbers in the sequence are terms. An example of a
sequence is 9, 6, 3, 0, - 3,..., where 9 is the first term, 0
is the 4th term, and the three dots mean that the sequence continues
indefinitely.
An
arithmetic progression is a sequence in which each term
is derived from the preceding term by adding or subtracting a
fixed number called the common difference. The example
9, 6, 3, 0, -3,... is an arithmetic progression in which (-3)
is the common difference. The progression -3, 0, 3, 6, 9,...
is an arithmetic progression in which 3 is the common difference.
If the first term and the common difference are given, the arithmetic
progression can be written.
Example 14
The first term of an arithmetic progression is 5 and the common
difference is 4. What is the sum of the first six terms?
Solution
The sequence is 5, 9,
13, 17, 21, 25,…
The sum is 5 + 9 + 13 + 17 +
21 + 25 = 90
w D. Uniform Motion
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