The sequence 4, 10, 20, 34, ... has a constant second difference. What is the next term?

Answer and explanation

Correct answer: C.

  1. Step 1: First differences: 6, 10, 14. Second difference: 4.
  2. Step 2: The next first difference is 18, so the next term is 34 + 18 = 52.
Answer
.
Why not the others: : the first difference was assumed to be constant. : the second difference was added to the last term instead of the next first difference. does not fit.

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