Nth Term of Arithmetic Sequence

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

Given the first term and the common difference of an arithmetic sequence find the nth term of the sequence.

a = 28, d = 10

What is the 6th term of the following arithmetic sequence?

• 5

• - 5

• 34

• 39

Answer explanation

The sequence increases by 5 each time. Starting from 14, the 6th term is 14 + 5*5 = 39. Thus, the correct answer is 39.

What is the 6th term of the following arithmetic sequence?

• 7

• - 7

• - 50

• - 57

Answer explanation

The sequence decreases by 7 each time. Starting from -15, the 6th term is calculated as -15 + 5*(-7) = -15 - 35 = -50. Thus, the 6th term is -50.

In the arithmetic sequence { 1, 5, 9, 13, ... }, which term is equal to 41 ?

• 9th term

• 10th term

• 11th term

• 12th term

Answer explanation

In the sequence, the nth term can be found using the formula: a_n = 1 + (n-1) * 4. Setting a_n = 41, we solve: 41 = 1 + (n-1) * 4, leading to n = 11. Thus, the 11th term is 41.

What is the eleventh term of an arithmetic sequence whose eighth term is - 27 and whose fifteenth term is - 55?

• 4

• - 4

• 39

• - 39

Answer explanation

In an arithmetic sequence, the nth term can be expressed as a_n = a_1 + (n-1)d. Given a_8 = -27 and a_15 = -55, we can find d. Solving gives d = -4. Thus, a_11 = a_8 + 3d = -27 + 3(-4) = -39.