Question

A grocery clerk changes the display of oranges regularly. If the pattern indicated
below is continued, determine the number of oranges that will be displayed on
the 8th figure. Use a table to find the pattern.

Answer 1

Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36