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Patterning - Equation for Increasing Arithmetic Pattern (Level 1)

This math topic focuses on developing skills related to forming equations for increasing arithmetic patterns. Each problem presents a sequence of numbers, and the task is to determine the equation that generates the sequence with \( n=1 \) as the first term. The sequences vary, some progressing by common differences and others potentially representing more complex relationships. The goal is to recognize and apply the concepts of arithmetic sequences to find the explicit formula that describes the pattern in each sequence.

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Equation for Increasing Arithmetic Pattern

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

Find the correct equation to describe this increasing pattern where n=1 is the first term

3, 8, 13, 18, 23

Patterning - Equation for Increasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Equation for Increasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
Find the correct equation to describe this increasing pattern where n=1 is the first term
1, 4, 7, 10, 13
a A LaTex expression showing a sub n = 1 + 0(n-1)
b A LaTex expression showing a sub n = 1 + 3(n-1)
c A LaTex expression showing a sub n = 1 + 4(n-1)
d A LaTex expression showing a sub n = 1 + 2(n-1)
e A LaTex expression showing a sub n = 1 + 3(n)
f A LaTex expression showing a sub n = 1 - 3(n-1)
2
Find the correct equation to describe this increasing pattern where n=1 is the first term
3, 7, 11, 15
a A LaTex expression showing a sub n = 6 + 4(n-1)
b A LaTex expression showing a sub n = 3 + 4(n)
c A LaTex expression showing a sub n = 3 + 0(n-1)
d A LaTex expression showing a sub n = 3 + 4(n-1)
e A LaTex expression showing a sub n = 3 + 3(n-1)
f A LaTex expression showing a sub n = 3 multiplied by 4 to the power of n-1
3
Find the correct equation to describe this increasing pattern where n=1 is the first term
3, 5, 7, 9, 11
a A LaTex expression showing a sub n = 2 + 2(n-1)
b A LaTex expression showing a sub n = 3 - 2(n-1)
c A LaTex expression showing a sub n = 3 + 0(n-1)
d A LaTex expression showing a sub n = a sub n-2 + a sub n-1
e A LaTex expression showing a sub n = 3 + 2(n-1)
f A LaTex expression showing a sub n = 3 + 2(n)
4
Find the correct equation to describe this increasing pattern where n=1 is the first term
2, 8, 14, 20
a A LaTex expression showing a sub n = 2 - 6(n-1)
b A LaTex expression showing a sub n = 2 + 6(n-1)
c A LaTex expression showing a sub n = 4 + 6(n-1)
d A LaTex expression showing a sub n = a sub n-2 + a sub n-1
e A LaTex expression showing a sub n = 5 + 6(n-1)
f A LaTex expression showing a sub n = 2 multiplied by 6 to the power of n-1
5
Find the correct equation to describe this increasing pattern where n=1 is the first term
3, 9, 15, 21, 27
a A LaTex expression showing a sub n = 3 + 6(n-1)
b A LaTex expression showing a sub n = 3 + 6(n)
c A LaTex expression showing a sub n = -1 + 6(n-1)
d A LaTex expression showing a sub n = 3 + 2(n-1)
e A LaTex expression showing a sub n = 3 + 3(n-1)
f A LaTex expression showing a sub n = a sub n-2 + a sub n-1
6
Find the correct equation to describe this increasing pattern where n=1 is the first term
1, 6, 11, 16, 21
a A LaTex expression showing a sub n = 1 + 5(n-1)
b A LaTex expression showing a sub n = 1 + 5(n)
c A LaTex expression showing a sub n = a sub n-2 + a sub n-1
d A LaTex expression showing a sub n = 1 + 2(n-1)
e A LaTex expression showing a sub n = 1 multiplied by 5 to the power of n-1
f A LaTex expression showing a sub n = 1 - 5(n-1)
7
Find the correct equation to describe this increasing pattern where n=1 is the first term
1, 4, 7, 10
a A LaTex expression showing a sub n = a sub n-2 + a sub n-1
b A LaTex expression showing a sub n = 1 + 3(n)
c A LaTex expression showing a sub n = 1 multiplied by 3 to the power of n-1
d A LaTex expression showing a sub n = 1 - 3(n-1)
e A LaTex expression showing a sub n = 1 + 7(n-1)
f A LaTex expression showing a sub n = 1 + 3(n-1)