About Introduction to Sequences:
A sequence is a function that computes an ordered list of numbers.
Test Objectives
- Demonstrate the ability to find the first few terms of a sequence
- Demonstrate the ability to find the first few terms of a sequence defined by a recursive formula
#1:
Instructions: Find the first five terms of the sequence.
$$a)\hspace{.2em}a_n=-11 + 20n$$
$$b)\hspace{.2em}a_n=-74 + 100n$$
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#2:
Instructions: Find the first five terms of the sequence.
$$a)\hspace{.2em}a_n=-224 + 200n$$
$$b)\hspace{.2em}a_n=-16 + 6n$$
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#3:
Instructions: Find the first five terms of the sequence.
$$a)\hspace{.2em}a_n=30n$$
$$b)\hspace{.2em}a_{n + 1}=a_n - 200$$ $$a_1=18$$
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#4:
Instructions: Find the first five terms of the sequence.
$$a)\hspace{.2em}a_{n + 1}=a_n - 100$$ $$a_1=20$$
$$b)\hspace{.2em}a_{n + 1}=a_n - 100$$ $$a_1=37$$
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#5:
Instructions: Find the first five terms of the sequence.
$$a)\hspace{.2em}a_{n + 1}=a_n - 6$$ $$a_1=38$$
$$b)\hspace{.2em}a_{n + 1}=a_n - 5$$ $$a_1=-1$$
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Written Solutions:
#1:
Solutions:
$$a)\hspace{.2em}9, 29, 49, 69, 89$$
$$b)\hspace{.2em}26, 126, 226, 326, 426$$
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#2:
Solutions:
$$a)\hspace{.2em}-24, 176, 376, 576, 776$$
$$b)\hspace{.2em}-10, -4, 2, 8, 14$$
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#3:
Solutions:
$$a)\hspace{.2em}30, 60, 90, 120, 150$$
$$b)\hspace{.2em}18, -182, -382, -582, -782$$
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#4:
Solutions:
$$a)\hspace{.2em}20, -80, -180, -280, -380$$
$$b)\hspace{.2em}37, -63, -163, -263, -363$$
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#5:
Solutions:
$$a)\hspace{.2em}38, 32, 26, 20, 14$$
$$b)\hspace{.2em}-1, -6, -11, -16, -21$$
