Math Problem Statement

Sequence that consists of a natural number. Starts at 1 and ends at 5.

Solution

A sequence that consists of natural numbers starting from 1 and ending at 5 can be written as:

1,2,3,4,51, 2, 3, 4, 5

This is a simple arithmetic sequence where the first term is 1, and the common difference between consecutive terms is 1.

Would you like to explore this sequence further, such as how to generate it or its properties?

Here are some related questions you might find interesting:

  1. What is the sum of this sequence?
  2. How would you extend this sequence beyond 5?
  3. What is the formula for the nth term of this sequence?
  4. How do arithmetic sequences work with different starting points and common differences?
  5. How would you identify an arithmetic sequence from a given set of numbers?

Tip: The sum of an arithmetic sequence can be easily calculated using the formula Sn=n(a1+an)2S_n = \frac{n(a_1 + a_n)}{2}, where nn is the number of terms, a1a_1 is the first term, and ana_n is the last term.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequences
Natural Numbers
Basic Number Theory

Formulas

Sum of an arithmetic sequence: S_n = (n(a_1 + a_n))/2
Nth term of an arithmetic sequence: a_n = a_1 + (n-1)d

Theorems

Properties of Arithmetic Sequences

Suitable Grade Level

Grades 4-6