Patterning - Term Value for Decreasing Arithmetic Pattern (Level 3)

This math topic focuses on identifying terms in decreasing arithmetic sequences. Each problem provides a sequence where students must calculate a specific term given its position (n-value). The problems vary by modifying the first terms and the decrement between consecutive terms. This exercises students' understanding of arithmetic patterns, particularly in identifying how sequences change over time and applying that pattern to find specific term values in the sequence.

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 3)'. 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=12 in this decreasing pattern (first term is n=1)

47, 44, 41, 38, 35

a

47

b

8,325,909

c

25

d

80

e

14

f

17

2

Find the term for n=14 in this decreasing pattern (first term is n=1)

86, 80, 74, 68

a

-5

b

1,123,219,685,376

c

-18

d

10

e

164

f

8

3

Find the term for n=15 in this decreasing pattern (first term is n=1)

31, 29, 27, 25, 23

a

507,904

b

-2

c

8

d

1

e

7

f

3

4

Find the term for n=15 in this decreasing pattern (first term is n=1)

87, 81, 75, 69

a

59

b

0

c

171

d

4

e

3

f

2

5

Find the term for n=12 in this decreasing pattern (first term is n=1)

78, 73, 68, 63, 58

a

67

b

1

c

23

d

3,808,593,750

e

27

f

24

6

Find the term for n=15 in this decreasing pattern (first term is n=1)

62, 58, 54, 50, 46

a

118

b

3

c

16,642,998,272

d

6

e

11

f

-8

7

Find the term for n=14 in this decreasing pattern (first term is n=1)

30, 28, 26, 24

a

4

b

5

c

8

d

-48

e

0

f

2