perplexus.info :: Just Math : Given the Sum, Find the Sum

Given the Sum, Find the Sum (Posted on 2024-05-29)

Given that:

a+b+c= 2022

1/(a²⁰²²) + 1/(b²⁰²²) + 1/(c²⁰²²) = 1/2022
Find the value of:

1/(a²⁰²³) + 1/(b²⁰²³) + 1/(c²⁰²³)

**** Adapted from a problem appearing in Vietnamese IMO, 2022

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Question	Brian Smith	2024-07-25 21:05:35
some thoughts	broll	2024-05-30 01:27:12

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