The next step is to solve the recurrence, but let's back up a bit. You should have found that the ODE in terms of the power series expansion for 


which indeed gives the recurrence you found,

but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that 

, and substituting this into the recurrence, you find that 

 for all 

.
Next, the linear term tells you that 

, or 

. 
Now, if 

 is the first term in the sequence, then by the recurrence you have



and so on, such that 

 for all 

.
Finally, the quadratic term gives 

, or 

. Then by the recurrence,




and so on, such that

for all 

.
Now, the solution was proposed to be

so the general solution would be


 
 
        
        
        
The answer is 1700 because 1679 rounded to the nearest hundred is 1700
        
             
        
        
        
Answer:
stop rushing brat
Step-by-step explanation:
 
        
                    
             
        
        
        
<em>1</em><em> </em><em>I </em><em>do </em><em>not </em><em>know</em>
<em>2</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>is </em><em>so </em><em>hard</em>
<em>3</em><em> </em><em>i</em><em> </em><em>don't </em><em>know</em><em> </em><em>what</em><em> </em><em>is </em><em>the </em><em>answer</em><em />