Asked in Premeth Test 42 — Atomic StructureModerate

Directions: In the following question, a number sequence is given with one term missing. Choose the correct term that will continue the same pattern and replace the question mark in the given sequence.4,7,15,29,59,117,?

Correct answer: D. 235

  • A. 230
  • B. 233
  • C. 234
  • D. 235

Explanation

To solve the sequence 4, 7, 15, 29, 59, 117, ?, observe the pattern of operations applied to each term:4 × 2 - 1 = 77 × 2 + 1 = 1515 × 2 - 1 = 2929 × 2 + 1 = 5959 × 2 - 1 = 117Notice the alternating pattern of multiplying by 2 and then either subtracting or adding 1. Following this pattern, the next operation for 117 is:117 × 2 + 1 = 235Thus, the correct answer is 235.Options 230, 233, and 234 do not follow this specific pattern and are therefore incorrect.

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About Atomic Structure

Atomic structure covers the discovery of the proton, Planck's quantum theory, hydrogen emission spectra and the evidence for quantized energy levels. You will use quantum numbers to describe orbitals, distinguish s, p, d and f orbital shapes, and write electronic configurations, including the correct order of electron filling.

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