Find the explicit formula for this sequence:
3,6,12,21,33,48,...
notice that the difference between each term form an arithmetic sequence thus, it is a quadratic sequence.
Now,Subtract the equations to get the variables
Solve the system of equation
Substitute the value of a to 3a+b=3
Substitute again to get the value of c
Summing up the values to get the explicit formula
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QUESTION
Find the explicit formula for this sequence:
3,6,12,21,33,48,...
SOLUTION
notice that the difference between each term form an arithmetic sequence thus, it is a quadratic sequence.
Now,Subtract the equations to get the variables
Solve the system of equation
Substitute the value of a to 3a+b=3
Substitute again to get the value of c
Summing up the values to get the explicit formula
FINAL ANSWER