Is this sequence arithmetic?

Question

Is the sequence 5,8,11,14,...... arithmetic?

yes or no?

if the answer is yes, what is the common difference?

 

 

Answer 1

An arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic sequence with common difference of 2.

 

-Wikipedia

 

In Wikipedia's example, 

         5           1st term

5+2 = 7          2nd term

7+2 = 9       3rd term

...

(  )+2= (  )   nth term

...

 

Formula for the n-th term,

a_n=a₁+(n-1)(d)

a_n is the n-th term

a₁ is the first term

d is the difference

 

So in wikipedia's example,

a_n=a₁+(n-1)(d)

a_n = 5+(n-1)*2

 

Use your own numbers, and try to put the right parts into the formula.