Junior Cert Higher Revision Key Skills Worksheet
Mr. Courtney
Chapter 18 Patterns and Sequences
1. I know how to find the xth term in a repeating pattern by dividing x by the block size and
numbering the remainder values 1,2,3,4,0 (for block size of 5) under the pattern to note
which values equate to which remainder.
Q2 Page 361
2. I know that a linear sequence is also known as an arithmetic sequence.
3. Given the nth Term Rule for a sequence I can find the first 4 terms of the sequence by
subbing in n=1, n=2 etc into the nth Term Rule formula.
Q3 Page 363
4. I can find the nth term rule for an arithmetic sequence using the formula Tn = a + (n-1)d
where a = First term value and d = difference between each term.
Q3 Q5 Page 366
5. I can solve problems involving sequences formed from shapes.
Q5 Q7 Page 368
6. I can find the 1st and 2nd difference of a sequence and know that if the 2nd difference is
constant then the sequence is QUADRATIC and not Linear.
Q3 Q4 Page 371
7. I can find the nth Term Rule for a Quadratic sequence by finding the coefficients of the
rule Tn=an2 + bn + c where a = ½ the 2nd difference and I find b and c by generating 2
simultaneous equations using/taking 2 corresponding Tn and n values in the sequence
as in Example 1 Page 360
Q6 Q7 Page 371
8. I can graph sequence by plotting T1, T2, T3 along the x axis and their corresponding
values on the y axis.
Q6 Page 376
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