Term Value for Decreasing Arithmetic Pattern (Level 4)

This math topic focuses on recognizing and computing term values in decreasing arithmetic patterns. Each problem presents a distinct initial set of numbers in a pattern and requires identifying the specific term (position given as n value) in that sequence. The patterns have a consistent negative step, incrementally decreasing from the first term downwards. Questions test students' ability to apply formulas for arithmetic sequences to find terms in sequences, enhancing their ability to work with patterns and sums in an advanced capacity.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Patterning - Term Value for Decreasing Arithmetic Pattern Worksheet

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Patterning - Term Value for Decreasing Arithmetic Pattern
1
Find the term for n=212 in this decreasing pattern (first term is n=1)
48, 45, 42, 39, 36
a
681
b
-584
c
-590
d
-587
e
-585
f
-586
2
Find the term for n=214 in this decreasing pattern (first term is n=1)
71, 66, 61, 56
a
1,136
b
-990
c
-1,633
d
-994
e
-996
f
-993
3
Find the term for n=213 in this decreasing pattern (first term is n=1)
32, 30, 28, 26, 24
a
-387
b
-392
c
-394
d
-395
e
-816
f
456
4
Find the term for n=218 in this decreasing pattern (first term is n=1)
76, 71, 66, 61, 56
a
-1,877
b
-1,011
c
-1,013
d
-141
e
-1,009
f
1,161
5
Find the term for n=216 in this decreasing pattern (first term is n=1)
78, 73, 68, 63, 58
a
1,153
b
-1,212
c
-994
d
-137
e
-1,000
f
-997
6
Find the term for n=218 in this decreasing pattern (first term is n=1)
63, 59, 55, 51, 47
a
-800
b
-805
c
-806
d
63
e
931
f
-803
7
Find the term for n=211 in this decreasing pattern (first term is n=1)
29, 27, 25, 23
a
-387
b
239
c
-388
d
-394
e
-391
f
-1,021
8
Find the term for n=218 in this decreasing pattern (first term is n=1)
31, 29, 27, 25, 23
a
-399
b
-403
c
-401
d
31
e
-405
f
-398