Question #4aa15

1 Answer
Feb 8, 2018

#4(n-1)-1#

Explanation:

Now, let's add 1 to all of the terms in #-1,3,7,11#

=>#0,4,8,12#

They are clearly all multiples of 4.

Since we start at 0, #"the first multiple of 4 starts at the second term"#

This tells us that for #0,4,8,12#, we have to subtract 1 from #n#, and then multiply it by 4.

We have: #4(n-1)#

Now, remember that we got #0,4,8,12# by adding 1 to all the terms of the first sequence.

Therefore, we subtract 1 from our expression.

#4(n-1)=>4(n-1)-1#