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Oliver and Putri were asked to find an explicit formula for the sequence -51,-34,-17,0,dots, where the first term should be h(1). Oliver said the formula is h(n)=-51+17 n. Putri said the formula is h(n)=-68+17 n. Which one of them is right? Choose 1 answer: (A) Only Oliver (B) Only Putri (C) Both Oliver and Putri (D) Neither Oliver nor Putri

Oliver and Putri were asked to find an explicit formula for the sequence −51,−34,−17,0,… -51,-34,-17,0, \ldots , where the first term should be h(1) h(1) .\newlineOliver said the formula is h(n)=−51+17n h(n)=-51+17 n .\newlinePutri said the formula is h(n)=−68+17n h(n)=-68+17 n .\newlineWhich one of them is right?\newlineChoose 11 answer:\newline(A) Only Oliver\newline(B) Only Putri\newline(C) Both Oliver and Putri\newline(D) Neither Oliver nor Putri

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Q. Oliver and Putri were asked to find an explicit formula for the sequence −51,−34,−17,0,… -51,-34,-17,0, \ldots , where the first term should be h(1) h(1) .\newlineOliver said the formula is h(n)=−51+17n h(n)=-51+17 n .\newlinePutri said the formula is h(n)=−68+17n h(n)=-68+17 n .\newlineWhich one of them is right?\newlineChoose 11 answer:\newline(A) Only Oliver\newline(B) Only Putri\newline(C) Both Oliver and Putri\newline(D) Neither Oliver nor Putri
  1. Identify the pattern: Identify the pattern in the sequence. The sequence −51,−34,−17,0,…-51, -34, -17, 0, \ldots increases by 1717 each time. This indicates that it is an arithmetic sequence with a common difference of 1717.
  2. Use explicit formula: Use the explicit formula for an arithmetic sequence, h(n)=h(1)+(n−1)dh(n) = h(1) + (n-1)d, where h(1)h(1) is the first term and dd is the common difference. For this sequence, the first term, h(1)h(1), is −51-51 and the common difference, dd, is 1717.
  3. Substitute values into formula: Substitute the values of h(1)h(1) and dd into the formula to write an expression to describe the sequence. The expression for the sequence is h(n)=−51+(n−1)×17h(n) = -51 + (n-1)\times 17.
  4. Simplify the expression: Simplify the expression. h(n)=−51+17n−17h(n) = -51 + 17n - 17. Combine like terms to get h(n)=17n−68h(n) = 17n - 68.
  5. Compare with Oliver and Putri: Compare the simplified expression to the formulas given by Oliver and Putri. Oliver's formula is h(n)=−51+17nh(n) = -51 + 17n, which is not simplified correctly. Putri's formula is h(n)=−68+17nh(n) = -68 + 17n, which matches our simplified expression.
  6. Determine correct formula: Determine which person is correct based on the comparison. Only Putri's formula is correct.

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