Patterning - Term Value for Increasing Arithmetic Pattern (Level 4)

This math topic focuses on finding specific term values in increasing arithmetic sequences. Students are required to determine the nth term for various arithmetic patterns. Each problem presents a sequence beginning at n=1 and progresses by a consistent interval. Solutions include multiple choice answers. These exercises help enhance skills in recognizing patterns, arithmetic sequence rules, and applying formulas to find terms at any position within a linear sequence.

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 4)'. 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=213 in this increasing pattern (first term is n=1)

2, 7, 12, 17, 22

a

1,067

b

1,065

c

1,061

d

-1,058

e

1,059

f

1,062

2

Find the term for n=216 in this increasing pattern (first term is n=1)

3, 6, 9, 12, 15

a

650

b

-642

c

1,293

d

645

e

644

f

648

3

Find the term for n=211 in this increasing pattern (first term is n=1)

1, 6, 11, 16

a

1,054

b

1,051

c

1,049

d

1,050

e

-1,049

f

1,046

4

Find the term for n=213 in this increasing pattern (first term is n=1)

2, 8, 14, 20, 26

a

-1,270

b

1,277

c

1,278

d

1,274

e

1,276

f

1,275

5

Find the term for n=215 in this increasing pattern (first term is n=1)

1, 3, 5, 7, 9

a

432

b

425

c

431

d

-427

e

429

f

-213

6

Find the term for n=215 in this increasing pattern (first term is n=1)

1, 6, 11, 16, 21

a

1,075

b

1,066

c

643

d

1,071

e

1,072

f

-1,069

7

Find the term for n=219 in this increasing pattern (first term is n=1)

2, 4, 6, 8, 10

a

438

b

-434

c

442

d

874

e

436

f

439