Looks tough! [part 3]

Algebra Level 4

1+4x+7x2+10x3+=3516 \large 1 + 4x + 7x^2 + 10x^3 + \cdots = \dfrac{35}{16}

Find the value of xx satisfying the equation above. If xx is in the form of ab\dfrac ab where aa and bb are positive integers with gcd(a,b)=1\gcd(a,b)=1, submit your answer as a+ba+b.

Hint: The series is an arithmetic-geometric progression.

×

Problem Loading...

Note Loading...

Set Loading...