Generating a sequence using a position-to-term rule
I can appreciate that a sequence can be generated and described by a position-to-term rule.
Generating a sequence using a position-to-term rule
I can appreciate that a sequence can be generated and described by a position-to-term rule.
Lesson details
Key learning points
- The position of a term in the sequence is its term number.
- The general term can be used to identify a specific term.
- The general term can be used to generate a sequence .
- The general term can be used to generate any number in the sequence.
- The general term can be used to describe a sequence.
Common misconception
The position-to-term rule is the initial term add the common difference.
Once pupils have found the additive pattern get them to write each term as a value add the difference.
Keywords
Position-to-term - A position-to-term rule describes how to generate the term from the term number.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
-2, -6, -18, -54, ... -
multiply the previous term by 3
-2, -6, -10, -14, ... -
add $$-4$$ to the previous term
-2, -6, -14, -30, ... -
multiply the previous term by 2 then subtract 2
-2, -6, -12, -20, ... -
add $$-4$$, add $$-6$$, add $$-8$$, ...
-2, -6, -14, -26, ... -
add $$-4$$, add $$-8$$, add $$-12$$, ...
-2, -6, -8, -8, ... -
add $$-4$$, add $$-2$$, add 0, ...
Exit quiz
6 Questions
term -
each value or pattern in a sequence
term-to-term rule -
describes how to get from one term to the next
position-to-term rule -
describes how to calculate the term from the term number
sequence -
a succession of values or patterns usually following a rule.
$$T_1$$ -
3
$$T_2$$ -
1
$$T_3$$ -
0
$$T_4$$ -
-2
