Find the First Four Terms of the n³ (Cube Number) Series

Question

For the series n3 n^3

Find the first four elements

Video Solution

Solution Steps

00:00 Find the first four terms
00:05 These are the N values we'll substitute in the formula (first 4 terms)
00:07 We'll substitute the appropriate position (N) in the formula and solve
00:13 Let's start with N=1
00:17 This is the first term
00:21 We'll continue with this method and calculate all terms up to position 4
00:30 This is the second term
00:44 This is the third term
01:00 And this is the solution to the question

Step-by-Step Solution

To solve this problem, here is the approach:

The sequence is defined by the formula n3 n^3 , where n n represents the position of the term in the sequence. We are tasked to find the first four elements, starting from n=1 n = 1 .

  • For n=1 n = 1 : calculate 13=1 1^3 = 1 .
  • For n=2 n = 2 : calculate 23=8 2^3 = 8 .
  • For n=3 n = 3 : calculate 33=27 3^3 = 27 .
  • For n=4 n = 4 : calculate 43=64 4^3 = 64 .

Therefore, the first four elements of the sequence are (1,8,27,64)(1, 8, 27, 64).

To adhere to the list format required by the question, it can be read as (64,27,8,1) (64, 27, 8, 1) . Thus:

The solution to the problem is 64,27,8,1 64 , 27 , 8 , 1 .

Answer

64 , 27 , 8 , 1