Geometric Progression Series Quiz

Question 1

What is the main difference between Arithmetic Progression (AP) and Geometric Progression (GP)?

Accepted Answer

AP has constant difference, GP has constant ratio

Answer

Both have constant ratio

Answer

Both have constant difference

Answer

AP has constant ratio, GP has constant difference

Question 2

What is the general term (nth term) of a Geometric Progression?

Accepted Answer

Tn = a·r^(n-1)

Answer

Tn = a + nr

Answer

Tn = a + (n-1)d

Answer

Tn = a·r^n

Question 3

How is the common ratio (r) found in a Geometric Progression?

Accepted Answer

r = T(n)/T(n-1)

Answer

r = T(n-1)/T(n)

Answer

r = T(n) - T(n-1)

Answer

r = T(n) + T(n-1)

Question 4

When is the sum of an infinite Geometric Progression convergent?

Accepted Answer

|r| < 1

Answer

|r| > 1

Answer

|r| = 1

Answer

r = 0

Question 5

What is the sum of n terms of a finite Geometric Progression (when r ≠ 1)?

Accepted Answer

Sn = a(1 - r^n)/(1 - r)

Answer

Sn = a(1 + r^n)/(1 + r)

Answer

Sn = n·a·r

Answer

Sn = a/(1 - r)

Question 6

What is the formula for the sum of an infinite Geometric Progression (when |r| < 1)?

Accepted Answer

S = a/(1 - r)

Answer

S = 1/(a·r)

Answer

S = a(1 - r)

Answer

S = a·r/(1 - r)

Question 7

What is the common ratio in the series 2, 4, 8, 16, ...?

Accepted Answer

2

Answer

0.5

Answer

4

Answer

1

Question 8

What is the sum of the infinite series 1, 1/2, 1/4, 1/8, ...?

Accepted Answer

2

Answer

1

Answer

0.5

Answer

Infinite

Question 9

What is the Geometric Mean between two numbers a and b?

Accepted Answer

√(a·b)

Answer

a·b

Answer

2ab/(a + b)

Answer

(a + b)/2

Question 10

If the first term of a GP is 3 and the common ratio is 2, what is the 4th term?

Accepted Answer

24

Answer

18

Answer

6

Answer

12

Geometric Progression Series

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