Question

Find the 2nd term of an arithmetic sequence if t1 = 0 and t5 = 16?

Answer 1

All arithmetic sequences have a common difference.
So, 0, t2, t3, t4, 16 is the sequence.
We can see that the mean of the sequence is t3 as the common differences are equal.
So, t3 = 8

We now see that the common difference is 4, so t2 = 0 + 4 = 4

Answer 2

thanks :)
i have one last qeustion:
Find the three arithmetic means between -2 and 10.

Answer 3

You mean the three terms in the arithmetic sequence?

Answer 4

-2, t2, t3, t4, 10 is the sequence. Mean of 10 and -2 is t3 which is 4.

-2, t2, 4, t4, 10

The common difference is 3.

So, the three numbers are: 1, 4, 7