This math topic focuses on finding the value of a term in a decreasing arithmetic sequence. Each problem provides a starting number and a common difference by which the sequence decreases for each successive term. Students are tasked with calculating the value of a specific term in the sequence. This advanced exercise enhances understanding of patterns and sequences, requiring application of arithmetic operations and sequence rules.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Term Value from Rule for Decreasing Arithmetic Pattern
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find the term for n=11 given this pattern rule (first term is n=1)
Start at 61 and subtract 4 for each term
Patterning - Term Value from Rule for Decreasing Arithmetic Pattern Worksheet
| Math worksheet on 'Patterning - Term Value from Rule for Decreasing 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
| Start at 78 and subtract 5 for each term |
| Find the term for n=15 given this pattern rule (first term is n=1) |
a
| 148 |
b
| 8 |
c
| 6 |
d
| -34 |
e
| 11 |
f
| 13 |
2
| Start at 43 and subtract 3 for each term |
| Find the term for n=18 given this pattern rule (first term is n=1) |
a
| -59 |
b
| -4 |
c
| -5 |
d
| -8 |
e
| 5,553,027,009 |
f
| 94 |
3
| Start at 30 and subtract 2 for each term |
| Find the term for n=12 given this pattern rule (first term is n=1) |
a
| 9 |
b
| 30 |
c
| 11 |
d
| 8 |
e
| -14 |
f
| 12 |
4
| Start at 31 and subtract 2 for each term |
| Find the term for n=10 given this pattern rule (first term is n=1) |
a
| 18 |
b
| 11 |
c
| 49 |
d
| 15,872 |
e
| 13 |
f
| 17 |
5
| Start at 91 and subtract 6 for each term |
| Find the term for n=15 given this pattern rule (first term is n=1) |
a
| 175 |
b
| 11 |
c
| 7 |
d
| 9 |
e
| 10 |
f
| 3 |
6
| Start at 92 and subtract 6 for each term |
| Find the term for n=18 given this pattern rule (first term is n=1) |
a
| -12 |
b
| 1,557,252,668,915,712 |
c
| -61 |
d
| 24 |
e
| 194 |
f
| -10 |
7
| Start at 59 and subtract 4 for each term |
| Find the term for n=12 given this pattern rule (first term is n=1) |
a
| -18 |
b
| 103 |
c
| 20 |
d
| 19 |
e
| -29 |
f
| 15 |