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What arithmetic sequence models the number of stars?
o What is the common difference?
o What is the first term?
o What is the general term?


Sagot :

1. **Common Difference (d)**: The difference between consecutive terms.

2. **First Term (a₁)**: The first term in the sequence.

3. **General Term (aₙ)**: The formula is ( aₙ = a₁ + (n - 1)d ).

Example

Given the sequence: ( 3, 7, 11, 15, \ldots )

- First Term: 3

- Common Difference: 4

General term:

[ aₙ = 3 + (n - 1) \cdot 4 = 4n - 1 ]

Summary

- Common Difference: 4

- First Term: 3

- General Term: ( aₙ = 4n - 1 )