Patterning - First Values from Equation for Increasing Arithmetic Pattern (Level 1)

This math topic focuses on identifying the first few terms generated by equations defining increasing arithmetic sequences. Each problem presents an equation and multiple sets of numerical sequences. The task is to select the sequence that correctly represents the first few terms generated when the equation is applied starting from \( n=1 \). The equations vary in their starting terms and common differences, challenging the ability to apply arithmetic sequence formulas and recognize pattern growth correctly. This helps build proficiency in understanding and manipulating arithmetic sequences, crucial in patterns and algebra.

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

First Values from Equation for Increasing Arithmetic Pattern

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Choose the first values that this equation would create starting with n=1

a_n = 2 + 5(n-1)

Patterning - First Values from Equation for Increasing Arithmetic Pattern Worksheet

Math worksheet on 'Patterning - First Values from Equation for Increasing 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/

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 3 + 4(n-1)

-1, 3, 7, 11, 15

3, 12, 48, 192, 768

3, 7, 11, 15, 19

3, 9, 15, 21, 27

6, 10, 14, 18, 22

3, 10, 17, 24, 31

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 1 + 2(n-1)

4, 6, 8, 10, 12

1, -1, -3, -5, -7

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 2 + 2(n-1)

2, 4, 6, 10, 16

2, 0, -2, -4, -6

4, 6, 8, 10, 12

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 1 + 6(n-1)

1, 11, 21, 31, 41

2, 8, 14, 20, 26

4, 10, 16, 22, 28

1, 7, 13, 19, 25

1, 6, 36, 216, 1,296

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 3 + 2(n-1)

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 2 + 4(n-1)

4, 8, 12, 16, 20

2, -2, -6, -10, -14

2, 6, 10, 14, 18

2, 6, 8, 14, 22

5, 9, 13, 17, 21

2, 8, 32, 128, 512

Choose the first values that this equation would create starting with n=1

A LaTex expression showing a sub n = 1 + 5(n-1)

1, 6, 11, 16, 21

1, 10, 19, 28, 37

1, 5, 25, 125, 625

1, -4, -9, -14, -19

2, 7, 12, 17, 22

3, 8, 13, 18, 23