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Suppose a,b, and c form an arithmetic sequence. Prove that b^2+bc+c^2, c^2+ca+a^2, a^2+ab+b^2 also form an arithmetic sequence.? Are there any new elements that have only been located in space/not found on Earth? Why do individual stars have the "crass-hatch" effect in pictures while galaxy s do not? I need a capacitor that will provide an output of 5 watts for 5 seconds before losing its charge.How do I figure out the capacitance I need? Study by discussion or alone?