FINDING nth TERMS OF ARITHMETIC SEQUENCE WORKSHEET

Find the n^th term of the arithmetic sequence.

Problem 1 :

a₁ = -4 and a₅ = 16

Solution

Problem 2 :

a₃ = 94 and a₆ = 85

Solution

Problem 3 :

a₅ = 190 and a₁₀ = 115

Solution

Problem 4 :

a₆ = -38 and a₁₁ = -73

Solution

Problem 5 :

a₃ = 19 and a₁₅ = -1.7

Solution

Problem 6 :

a₅ = 16 and a₁₄ = 38.5

Solution

Find the n^th term of the sequence, then find the 20^th term.

Problem 1 :

a₁ = 2 and d = 3

Solution

Problem 2 :

-6, -4, -2, …

Solution

Problem 3 :

a₁ = 0 and d = 2/3

Solution

Problem 4 :

2/5, 1/15, -4/15, …

Solution

a) Find the common difference of each arithmetic sequence.

b)  Write the n^th term of each sequence for the given value of n.

Problem 1 :

3, 6, 9, 12, …, n = 8

Solution

Problem 2 :

2, 7, 12, 17, …, n = 12

Solution

Problem 3 :

18, 16, 14, 12, …, n = 10

Solution

Problem 4 :

1/2, 1, 3/2, 2, …, n = 7

Solution

Problem 5 :

-1, -3, -5, -7, …, n = 10

Solution