Question

Which is an arithmetic sequence with a common difference of 4?

o 2, 8, 32, 128, 512,
o 4, 6, 8, 10, 12,
o 4, 8, 16, 32, 64,
o 5,9,13, 17, 21,

Answer 1

C because its 4,8,16,20,24,28,32,36,etc

Answer 2

An arithmetic sequence with a common difference of 4 include the following: D. 5,9,13, 17, 21, ...

In Mathematics and Euclidean Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

`a_n=a_1+(n-1)d`

Where:

• d represents the common difference.
• 
  `a_1` represents the first term of an arithmetic sequence.
• n represents the total number of terms.

Next, we would write an explicit equation for the sequence by using the arithmetic sequence formula;

Common difference, d = succeding term - preceeding term

Common difference, d = 9 - 5 = 13 - 9 = 17 - 13 = 21 - 17

Common difference, d = 4.