Answer
$4, 4.5, 5, 5.5, 6$
Work Step by Step
Th first term is $4$ so $a_1=4$.
The sum must be $25$
Using $d$ as the common difference, then the next $4$ terms of the sequence are:
$a_2=a_1+d =4+d \\a_3=a_1+2d =4+2d\\a_4=a_1+3d =4+3d\\a_5=a_1+4d =4+4d$
Since the sum of the $5$ terms is $25$, then
$a_1+a_2+a_3+a_4+a_5=25$
Thus,
$4+(4+d)+(4+2d)+(4+3d)+(4+4d)=25\\
10d+20=25\\
10d=25-20\\
10d=5\\
d=0.5$
Substituting the value of $d$ into each term, we get the $5$ to be:
$a_1=4\\
a_2=4+0.5=4.5\\
a_3=4.5+0.5=5\\
a_4=5+0.5=5.5\\
a_5=5.5+0.5=6$
