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Statement 1: The sum of the series 1""...

Statement 1: The sum of the series `1""+""(1""+""2""+""4)""+""(4""+""6""+""9)""+""(9""+""12""+""16)""+"". . . . . .` `+""(361""+""380""+""400)"" i s ""8000` . Statement 2: `sum_(k=1)^n(k^3-(k-1)^3)=n^3` for any natural number n. (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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To solve the problem, we need to analyze both statements provided in the question. ### Step 1: Analyze Statement 1 The first statement claims that the sum of the series: \[ 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + \ldots + (361 + 380 + 400) = 8000 \] ...
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