Patterning - Term Value for Increasing Arithmetic Pattern (Level 2)

This math topic focuses on finding specific terms in increasing arithmetic patterns. Each problem presents an arithmetic progression and asks to determine the value of a term further along in the sequence, given the first few terms. The arithmetic patterns increase by a constant difference, and students are tasked to apply their knowledge in arithmetic sequences to identify the correct term at specified positions. The problems encompass a range of simple to more complex sequences, sharpening skills in pattern recognition and algebraic calculation. This topic is targeted at developing advanced pattern and sum calculation skills.

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 2)'. 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=13 in this increasing pattern (first term is n=1)

1, 7, 13, 19

a

73

b

70

c

2,176,782,336

d

-71

e

85

f

61

2

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

1, 7, 13, 19, 25

a

49

b

51

c

46

d

-47

e

53

f

50

3

Find the term for n=7 in this increasing pattern (first term is n=1)

2, 5, 8, 11

a

23

b

16

c

19

d

18

e

1,458

f

20

4

Find the term for n=13 in this increasing pattern (first term is n=1)

2, 7, 12, 17

a

62

b

98

c

59

d

64

e

74

f

488,281,250

5

Find the term for n=10 in this increasing pattern (first term is n=1)

1, 3, 5, 7

a

22

b

-17

c

19

d

20

e

14

f

18

6

Find the term for n=10 in this increasing pattern (first term is n=1)

1, 6, 11, 16

a

-44

b

1,953,125

c

45

d

49

e

48

f

46

7

Find the term for n=10 in this increasing pattern (first term is n=1)

2, 8, 14, 20

a

55

b

74

c

56

d

59

e

-52

f

58