Write a rule for the sequence: 3, -3, -9, -15.

3 = − 3 ⋅ ( − 1 ) − 3 = − 3 ⋅ ( − 1 + 2 ) = − 3 ⋅ 1 − 9 = − 3 ⋅ ( 1 + 2 ) = − 3 ⋅ 3 − 15 = − 3 ⋅ ( 3 + 2 ) = − 3 ⋅ 5 n e x t t er m s : − 3 ⋅ ( 5 + 2 ) = − 3 ⋅ 7 = − 21 − 3 ⋅ ( 7 + 2 ) = − 3 ⋅ 9 = − 27 − 3 ⋅ ( 9 + 2 ) = − 3 ⋅ 11 = − 33 ⋮
a n ​ = − 3 ( 2 n − 3 )

Answered by Anonymous | 2024-06-10

The rule for the sequence 3, -3, -9, -15 is given by the formula a n ​ = 9 − 6 n . This sequence decreases by 6 for each term, demonstrating a consistent arithmetic pattern. By applying the formula, you can calculate any term in the sequence easily.
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Answered by Anonymous | 2024-12-23