Exploring AP and GP Concepts

What is the nth term of the arithmetic progression (AP) 3, 7, 11, 15?

• 2n + 1

• 3n + 4

• 5n - 3

• 4n - 1

Find the 10th term of the geometric progression (GP) 2, 6, 18, 54.

• 729

• 54

• 39366

• 120

Calculate the sum of the first 20 terms of the AP: 5, 10, 15, 20.

• 500

• 1000

• 1050

• 1500

If the first term of an AP is 4 and the common difference is 3, what is the 15th term?

• 52

• 40

• 39

• 46

Determine the nth term of the GP: 5, 15, 45, 135.

• 5 * 2^(n-1)

• 5 * 4^(n-1)

• 10 * 3^(n-1)

• 5 * 3^(n-1)

A sequence has a first term of 12 and a common difference of 4. What is the 25th term?

• 92

• 84

• 100

• 108

What is the sum of the first 15 terms of the AP: 2, 4, 6, 8?

• 300

• 200

• 240

• 180

If the first term of a GP is 3 and the common ratio is 2, what is the 5th term?

• 48

• 60

• 36

• 24

Solve the word problem: A car travels 100 km in the first hour and increases its speed by 20 km each hour. How far will it travel in 5 hours?

• 600 km

• 500 km

• 800 km

• 700 km

Find the sum of the first 10 terms of the GP: 1, 2, 4, 8.

• 512

• 2048

• 1023

• 256