Types of Progression

What is Arithmetic Progression?

• Arithmetic Progression is a sequence of numbers with random differences between terms.

• Arithmetic Progression is a sequence of numbers where the sum of any two consecutive terms is constant.

• Arithmetic Progression is a sequence of numbers in which the difference between any two consecutive terms is constant.

• Arithmetic Progression is a sequence of numbers where the ratio between consecutive terms is constant.

In a Geometric Progression, what is the common ratio?

• Random number

• Changing factor

• Constant value by which each term is multiplied to get the next term

• Variable value

Define Harmonic Progression.

• A Harmonic Progression is a sequence of numbers in which the reciprocals of the terms are in arithmetic progression.

• A Harmonic Progression is a sequence of numbers in which the terms are in random order.

• A Harmonic Progression is a sequence of numbers in which the terms are in geometric progression.

• A Harmonic Progression is a sequence of numbers in which the terms are in decreasing order.

What is the formula to find the nth term of an Arithmetic Progression?

• a_n = a_1 + nd

• a_n = a_1 + (n-1)d

• a_n = a_1 + d

• a_n = a_1 - (n-1)d

If the first term of a Geometric Progression is 2 and the common ratio is 3, what is the second term?

• 10

• 6

• 8

• 5

In a Harmonic Progression, what is the reciprocal of the common difference?

• 1/d

• d^(-1)

• d/1

• 1-d

What is the sum of the first n terms of an Arithmetic Progression?

• sum = n * (2a + (n-1)d)

• sum = n/2 * (2a + (n-1)d)

• sum = n * (a + (n-1)d)

• sum = n/2 * (2a + nd)

If the first term of a Geometric Progression is 5 and the common ratio is 2, what is the third term?

• 25

• 20

• 10

• 15

What is the sum of the first n terms of a Geometric Progression?

• sum = a * (1 - r^n) / (1 - r)

• sum = a * (1 + r) / (1 - r)

• sum = a * (1 + r^n) / (1 + r)

• sum = a * (1 - r) / (1 - r^n)

If the first term of a Harmonic Progression is 1/2 and the common difference is 1/3, what is the second term?

• 3/2

• 6/5

• 7/6

• 5/4