Question 857886
We can immediately tell that the equation for the fifth number (E) is:
{{{(22 + E)/2}}}=45
Therefore, E + 22 = 90; E = 68
Our sequence looks like this:
A, B, C, 22, 68, 45
Let's work backward to find C.
 {{{(C + 22)/2}}} = 68
C + 22 = 136
C = 114
Now we have:
A, B, 114, 22, 68, 45
22 is the average of 114 and B.
44 = 114 + ?
B = -70
Now we have:
A, -70, 114, 22, 68, 45
What is A?
A + (-70) = 114*2, or 228
A = 298
Sequence is:
298, -70, 114, 22, 68, 45
.
Let make sure that works.
{{{(298-70)/2}}}=114
{{{(-70+114)/2}}}=22
{{{(114+22)/2}}}=68
{{{(22+68)/2}}}=45
Success!