Answer:
[tex]\huge\boxed{18,475}[/tex]
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of n terms of an arithmetic sequence:
[tex]S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}[/tex]
We have
[tex]a_1=2\\d=17-2=32-12=47-32=15\\n=50[/tex]
Substitute:
[tex]S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475[/tex]
