Patterning - First Values from Rule for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on identifying the first values from a rule for decreasing arithmetic patterns. It includes various problems where a starting number is given, along with a rule to subtract a constant amount. Students must select the correct sequence of numbers that follow this pattern from multiple choices provided. Each problem requires understanding and applying the concept of an arithmetic sequence where the common difference is negative, reinforcing skills in pattern recognition and basic arithmetic operations within sequences.

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

Patterning - First Values from Rule for Decreasing Arithmetic Pattern Worksheet

Math worksheet on 'Patterning - First Values from Rule for Decreasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/

1

Start at 10 and subtract 2 for each term

Choose the first values that this pattern rule would create

a

10, 12, 14, 16

b

7, 5, 3, 1

c

10, 20, 40, 80

d

10, 8, 6, 4

e

10, 12, 22, 34

f

8, 6, 4, 2

2

Start at 27 and subtract 5 for each term

Choose the first values that this pattern rule would create

a

27, 18, 9, 0, -9

b

27, 22, 17, 12, 7

c

27, 32, 59, 91, 150

d

29, 24, 19, 14, 9

e

31, 26, 21, 16, 11

f

27, 32, 37, 42, 47

3

Start at 11 and subtract 2 for each term

Choose the first values that this pattern rule would create

a

8, 6, 4, 2, 0

b

11, 13, 15, 17, 19

c

11, 22, 44, 88, 176

d

11, 5, -1, -7, -13

e

11, 9, 7, 5, 3

f

12, 10, 8, 6, 4

4

Start at 33 and subtract 6 for each term

Choose the first values that this pattern rule would create

a

35, 29, 23, 17, 11

b

33, 39, 45, 51, 57

c

33, 31, 29, 27, 25

d

33, 39, 72, 111, 183

e

33, 27, 21, 15, 9

f

33, 198, 1,188, 7,128, 42,768

5

Start at 18 and subtract 4 for each term

Choose the first values that this pattern rule would create

a

18, 15, 12, 9

b

22, 18, 14, 10

c

18, 72, 288, 1,152

d

18, 12, 6, 0

e

18, 14, 10, 6

f

18, 22, 26, 30

6

Start at 23 and subtract 5 for each term

Choose the first values that this pattern rule would create

a

23, 28, 33, 38

b

23, 28, 51, 79

c

23, 18, 13, 8

d

23, 21, 19, 17

e

26, 21, 16, 11

f

23, 115, 575, 2,875

7

Start at 18 and subtract 3 for each term

Choose the first values that this pattern rule would create

a

20, 17, 14, 11, 8

b

18, 17, 16, 15, 14

c

18, 54, 162, 486, 1,458

d

22, 19, 16, 13, 10

e

18, 15, 12, 9, 6

f

21, 18, 15, 12, 9