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What kind of sequence is this?\newline228,231,237,246,…228, 231, 237, 246, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Full solution

Q. What kind of sequence is this?\newline228,231,237,246,…228, 231, 237, 246, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Check Differences: Check if the differences between consecutive terms are constant. Calculate the differences: 231−228=3231 - 228 = 3, 237−231=6237 - 231 = 6, 246−237=9246 - 237 = 9.
  2. Not Arithmetic: Since the differences are not constant 3,6,93, 6, 9, it's not an arithmetic sequence.
  3. Check Ratios: Check if the ratios between consecutive terms are constant. Calculate the ratios: 231228≈1.0132\frac{231}{228} \approx 1.0132, 237231≈1.0260\frac{237}{231} \approx 1.0260, 246237≈1.0379\frac{246}{237} \approx 1.0379.
  4. Not Geometric: Since the ratios are not constant (1.0132,1.0260,1.0379)(1.0132, 1.0260, 1.0379), it's not a geometric sequence.

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