Patterning - 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.

Patterning - Term Value for Decreasing Arithmetic Pattern Worksheet

Math worksheet on 'Patterning - Term Value for Decreasing Arithmetic Pattern (Level 4)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/

1

Find the term for n=212 in this decreasing pattern (first term is n=1)

48, 45, 42, 39, 36

a

-585

b

-584

c

-586

d

681

e

-587

f

-590

2

Find the term for n=210 in this decreasing pattern (first term is n=1)

43, 40, 37, 34

a

-585

b

-588

c

252

d

-584

e

670

f

-1,211

3

Find the term for n=211 in this decreasing pattern (first term is n=1)

29, 27, 25, 23

a

-394

b

-387

c

-391

d

239

e

-1,021

f

-388

4

Find the term for n=213 in this decreasing pattern (first term is n=1)

47, 44, 41, 38, 35

a

-588

b

-591

c

-585

d

47

e

-165

f

-589

5

Find the term for n=215 in this decreasing pattern (first term is n=1)

62, 58, 54, 50, 46

a

-791

b

-798

c

-794

d

-580

e

-1,008

f

918

6

Find the term for n=212 in this decreasing pattern (first term is n=1)

57, 53, 49, 45

a

-783

b

901

c

-576

d

-787

e

-791

f

-789

7

Find the term for n=213 in this decreasing pattern (first term is n=1)

72, 67, 62, 57

a

-984

b

-988

c

-990

d

1,132

e

-1,836

f

-1,624