FUVEST 2024 - Questão 85

85 Figurate numbers are numbers that express the total number of points in certain geometric configurations. An example of figurate numbers are triangular numbers, which are natural numbers that can be geometrically represented in the form of a triangle. The first four triangular numbers are illustrated in Figure I. Although the number 1 does not represent a triangle, it is considered a triangular number. Figure I Another example of a figurate number is the oblong number, which represents the total number of points in a rectangular grid where the number of columns is one more than the number of rows. The first four oblong numbers are illustrated in Figure II. Although the number 2 does not represent a rectangular grid, it is considered an oblong number. Figure II Regarding triangular and oblong numbers, choose the correct alternative. (A) 162 is the 15th triangular number. (B) The 13th triangular number is prime and the 30th oblong number is odd. (C) 156 is neither an oblong nor a triangular number. (D) 210 is both a triangular and an oblong number. (E) The difference between two consecutive triangular numbers are terms of a geometric progression. ----------------------------------------------------------------------------------------------------------------------- SUBSCRIBE TO THE CHANNEL: @profjosemathias ➡️ FOLLOW ME ON SOCIAL MEDIA: INSTAGRAM:   / prof.josemathias