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Number Sequence Calculator: Simplify Your Mathematical Sequences 🔢➕

The Sequence Calculator is a versatile tool that assists in the analysis and comprehension of different types of sequences. Whether you are working with arithmetic, geometric, or Fibonacci sequences, this calculator streamlines the process and provides valuable insights.

Types of Sequences Supported:

1. Arithmetic Sequences:

   • These sequences have a constant difference between successive terms.
   • General form: \(a_n = a_1 + f \cdot (n-1)\)
   • Example: 1, 3, 5, 7, 9, 11, 13, …
   • Calculate the 5th term: \(a_5 = a_1 + 2 \cdot (5-1) = 9\)

2. Geometric Sequences:

   • These sequences have a constant ratio between successive terms.
   • General form: \(a_n = a_1 \cdot r^{(n-1)}\)
   • Example: 2, 6, 18, 54, 162, …
   • Calculate the 4th term: \(a_4 = a_1 \cdot 3^{(4-1)} = 54\)

3. Fibonacci Sequences:

   • These sequences are characterized by the fact that each term is the sum of the two preceding ones.
   • General form: \(F_n = F_{n-1} + F_{n-2}\)
   • Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, …
   • Calculate the 7th term: \(F_7 = F_6 + F_5 = 13\)