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

This math topic covers the skill of finding term values in increasing arithmetic sequences. Each problem presents an arithmetic sequence and asks for the term value at a specific position (e.g., n=10, n=15, etc.) from the sequence's initial term. The sequences increase by a consistent difference, and learners need to find the correct term in the sequence given its position. This involves applying knowledge of arithmetic patterns and sequence formulas to determine the value of the sequence at a designated point.

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

Patterning - Term Value for Increasing Arithmetic Pattern Worksheet

Math worksheet on 'Patterning - Term Value for Increasing 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=19 in this increasing pattern (first term is n=1)

1, 3, 5, 7, 9

a

37

b

262,144

c

34

d

40

e

33

f

-35

2

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

1, 3, 5, 7

a

-21

b

18

c

2,048

d

23

e

22

f

25

3

Find the term for n=11 in this increasing pattern (first term is n=1)

1, 5, 9, 13, 17

a

40

b

-39

c

1,048,576

d

42

e

41

f

36

4

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

2, 8, 14, 20, 26

a

86

b

114

c

82

d

-82

e

128

f

85

5

Find the term for n=17 in this increasing pattern (first term is n=1)

3, 6, 9, 12

a

51

b

55

c

54

d

3

e

47

f

129,140,163

6

Find the term for n=9 in this increasing pattern (first term is n=1)

1, 4, 7, 10

a

30

b

25

c

9

d

6,561

e

22

f

-23

7

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

2, 4, 6, 8, 10

a

-26

b

-12

c

26

d

72

e

2

f

30