Arithmetic and Geometric Series - Ambitious

Question 1: Specify the formula for the arithmetic progression

A

a_{n} = a_{1} + d \times n

B

a_{n} = a_{1} + n

C

a_{n} = a_{1} + d \times (n - 1)

D

a_{n} = 2 \times a_{1} + d \times (n - 1)

Question 2: Find the twenty-first arithmetic term of the following arithmetic series

1,1.5,2,...

A

10.5

B

10

C

11

D

12

Question 3: Find the common ratio of geometric progression if the first element is

2

, and the fifth

1250

.

A

10

B

2

C

25

D

5

Question 4: Find the sum of the first hundred members of the arithmetic progression if the first element is

3

and the difference is

5

.

A

50100

B

25005

C

25000

D

25050

Question 5: In geometric progression we have:

b_{1} = 2

,

q = 0.5

. Calculate the sum of the first 3 members of the progression.

A

3.5

B

3.75

C

4

D

2.5

Test: Arithmetic and Geometric Series - Ambitious