Arithmetic Sequence and Series

Question 1

Find the sum of first 3 terms.

{0, 3, 6, 9, 12, ….}

Answer 1

S3 = 9

Question 2

Find the sum of first 5 terms.

{0, 3, 6, 9, 12, ….}

Answer 2

S5 = 30

Question 3

Find the sum of first 7 terms.

{0, 3, 6, 9, 12, ….}

Answer 3

S7 = 63

Question 4

What is the common difference?

{0, 3, 6, 9, 12, ….}

Answer 4

3

Question 5

What is the common difference?

{12, 9, 6, 3, 0, …}

Answer 5

-3

Question 6

Is this an arithmetic sequence?

{1, 3, 6, 9, 12, …}

Answer 6

No, common difference is not the same.

Question 7

Determine whether the sequence {5, 10, 15, 20, 25, …} is arithmetic or not.

Answer 7

ARITHMETIC

Question 8

Determine the next 5 terms of the arithmetic sequence {5, 10, 15, 20, 25, …}

Answer 8

30, 35, 40, 45, 50

Question 9

Find the 100th term of the sequence {5, 10, 15, 20, 25, …}

Answer 9

a100 = 500

Question 10

Determine the arithmetic mean between 6 and 11.

Answer 10

8.5

Question 11

Determine the 3 arithmetic means between 4 and 20.

Answer 11

8, 12, 16

Question 12

Find the sum of the arithmetic sequence {12, 11, 10, 9, …, 1}

Answer 12

S12 = 78

Question 13

Find the sum of the first 12 terms of the arithmetic sequence {50, 47, 44, 41, 38, …}

Answer 13

S12 = 402