Exploring Arithmetic Sequences

What is the common difference in the arithmetic sequence 3, 7, 11, 15?

• 2

• 8

• 4

• 6

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 10th term?

• 25

• 23

• 19

• 21

Calculate the sum of the first 20 terms of the arithmetic sequence where the first term is 4 and the common difference is 3.

• 550

• 650

• 700

• 600

What is the formula for the nth term of an arithmetic sequence?

• a_n = n^2 + d

• a_n = a_1 * n + d

• a_n = a_1 + (n - 1)d

• a_n = a_1 - (n + 1)d

If the 5th term of an arithmetic sequence is 20 and the common difference is 3, what is the first term?

• 15

• 8

• 5

• 12

Determine the 15th term of the arithmetic sequence defined by the first term 10 and common difference -1.

• 5

• -4

• 0

• -10

How many terms are there in the arithmetic sequence 2, 5, 8, ..., 50?

• 20

• 17

• 15

• 12

Find the sum of the arithmetic sequence with first term 1, last term 100, and 50 terms.

• 2550

• 2525

• 100

• 5050

If the first term is 12 and the last term is 48 in an arithmetic sequence with 10 terms, what is the common difference?

• 4

• 8

• 6

• 10

What is the 7th term of the arithmetic sequence where the first term is 1 and the common difference is 4?

• 21

• 25

• 17

• 29