Question

Is the following sequence arithmetic? If so, identify the common difference.

-0.3, 0.1, 0.5, 0.9, …

A) Yes; -0.2

B) No

C) Yes; -0.4

D) Yes; 0.4

Answer 1

Yes, and, the common difference between each number is, 0.4.

The difference between -0.3 and 0.1 is 0.4.

0.1 + 0.4 = 0.5

0.5 + 0.4 = 0.9

etc, etc...

I hope this helps!

Answer 2

Option D

Yes 0.4

Explanation:

A sequence is said to be arithmetic if there is a pattern as

nth term is got by adding d to n-1th term.

d = common difference

The sequence will look like

a, a+d,a+2d, a+3d,......

where I term= a and each time d is added to get the next term.

Our given sequence is

-0.3, 0.1, 0.5, 0.9, …

Let us find difference between Ii and I term

=0.1-(-0.3) = 0.4

Similarly iii term - ii term

=0.5-0.1 =0.4

and iv term - iii term = 0.9-0.5 = 0.4

Hence confirmed that this is an arithmetic sequence with I term =-0.3 and common difference = 0.4