IDNStudy.com, ang iyong destinasyon para sa mabilis at eksaktong mga sagot. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

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 )