High School

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If [tex]1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{25} + \ldots = a[/tex],

then [tex]\frac{1}{9} + \frac{1}{25} + \frac{1}{49} + \ldots = \ldots[/tex]

Answer :

Answer:

1/9 + 1/25 + 1/49 + ... = a-1.25

Step-by-step explanation:

This looks fun! If you're bored, look up the Riemann zeta function, this seems similar to that.

All they did was subtract 1 and 1/4 from both sides from what you gave, so the right side of the equation would just be a - 1 - 1/4, which you can simplify to a - 1.25

DO NOT try to solve for the value of 1/9 + 1/25 + 1/49 + ..., that seems beyond the scope of the course you're in.

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Rewritten by : Batagu