Mathematical Sequences Fundamentals Quiz

Question 1

What is the general form of an Arithmetic Progression (AP)?

Accepted Answer

a, a+d, a+2d, a+3d,...

Answer

a, a², a³, a⁴,...

Answer

a, a/d, a/2d, a/3d,...

Answer

a, ar, ar², ar³,...

Question 2

What is the formula to find the nth term of a Geometric Progression (GP)?

Accepted Answer

ar^(n-1)

Answer

ar^n

Answer

a + nd

Answer

a + (n-1)d

Question 3

If the first term of an AP is 5 and common difference is 3, what is the 10th term?

Accepted Answer

32

Answer

30

Answer

35

Answer

28

Question 4

What is the formula for sum of n terms of an Arithmetic Progression?

Accepted Answer

n/2[2a + (n-1)d]

Answer

n[2a + (n-1)d]

Answer

n/3[2a + (n-1)d]

Answer

n/2[a + (n-1)d]

Question 5

What is the formula for sum of infinite terms of a GP (when |r| < 1)?

Accepted Answer

a/(1-r)

Answer

a/(1+r)

Answer

a/(r-1)

Answer

a(1-r)

Question 6

If the first term of a GP is 2 and common ratio is 1/2, what is the sum of infinite terms?

Accepted Answer

4

Answer

2

Answer

6

Answer

3

Question 7

What is called a Harmonic Progression (HP)?

Accepted Answer

A sequence whose reciprocals form an AP

Answer

A sequence that is only a GP

Answer

A sequence that is only an AP

Answer

A sequence whose reciprocals form a GP

Question 8

If three numbers are in GP with sum 14 and product 64, what is the middle term?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 9

If the 3rd term of an AP is 9 and 7th term is 25, what is the common difference?

Accepted Answer

4

Answer

3

Answer

2

Answer

5

Question 10

What are the first and second terms of the Fibonacci sequence?

Accepted Answer

0 and 1

Answer

0 and 0

Answer

1 and 2

Answer

1 and 1

Mathematical Sequences Fundamentals

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