we have
24, 31, 38, 45, 52
Let
a1=24 a2=31 a3=38 a4=45 a5=52
so
a2-a1=31-24=7----------> a2=a1+7
a3-a2=38-31=7--------> a3=a2+7
a4-a3=45-38=7--------> a4=a3+7
a5-a4=52-45=7---------> a5=a4+7
this is an Arithmetic Sequence
In an Arithmetic Sequence, the difference between one term and the next is a constant. The constant term added to each term to generate the next term is called the common difference
so
an = a1 + (n - 1) • d
for n=1000
a1=24
d=7
an = 24+(1000-1)*7------> an=7,017
therefore
the answer is
7,017