Understanding Arithmetic Sequences

What is the general term of the arithmetic sequence where the first term is 5 and the common difference is 3?

• a_n = 5 + (n + 1) * 3

• a_n = 5 + (n - 1) * 3

• a_n = 3n + 5

• a_n = 5 + n * 3

Calculate the 10th term of the arithmetic sequence: 2, 5, 8, ...

• 32

• 35

• 29

• 26

If the first term of an arithmetic sequence is 4 and the 7th term is 25, what is the common difference?

• 5

• 3.5

• 2

• 7.5

Determine the sum of the first 15 terms of the arithmetic sequence: 1, 4, 7, ...

• 300

• 360

• 250

• 330

A sequence starts with 10 and has a common difference of -2. What is the 12th term?

• -12

• 0

• -20

• -10

Find the sum of the first 20 terms of the arithmetic sequence where the first term is 6 and the common difference is 4.

• 920

• 880

• 760

• 840

If the 5th term of an arithmetic sequence is 12 and the 10th term is 27, what is the common difference?

• 3

• 5

• 10

• 15

A car travels 100 km in the first hour and increases its distance by 20 km every hour. How far will it travel in the 6th hour?

• 150 km

• 200 km

• 220 km

• 180 km

Calculate the sum of the first 25 terms of the arithmetic sequence: 3, 6, 9, ...

• 1025

• 850

• 975

• 900

If the first term of an arithmetic sequence is 15 and the last term is 75 with 13 terms, what is the common difference?

• 5

• 20

• 15

• 10