Arithmetic Sequence: Is 1 Present in a Series Starting at 15 with Difference -2?

Question

Given a series whose first element is 15, each element of the series is less by 2 of its predecessor.

Is the number 1 an element of the series?

Video Solution

Solution Steps

00:00 Is the number 1 a member of the sequence?
00:03 Let's start calculating jumps of 2 backwards from the first member (15)
00:13 Each time we subtract 2 according to the given
00:35 We can see that 1 is a member of the sequence, and this is the solution to the question

Step-by-Step Solution

We know that the first term of the series is 15.

From here we can easily write the entire series, until we see if we reach 1.  

15, 13, 11, 9, 7, 5, 3, 1

 

The number 1 is indeed an element of the series!

Answer

Yes