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.2,6,18,54,162,?

Correct answer: A. 486

  • A. 486
  • B. 324
  • C. 243
  • D. 450

Explanation

The given sequence is 2, 6, 18, 54, 162, ?. To find the pattern, observe that each term is obtained by multiplying the previous term by 3:6 is 2 × 318 is 6 × 354 is 18 × 3162 is 54 × 3Continuing this pattern, the next term is 162 × 3 = 486. Therefore, the missing term is 486. The other options do not follow this multiplication rule, thus they are 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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