Complete the table for each given sequence: On = 15+3(n − 1)
1 answer:
Answer:
The complete table will be:
Term # Value of aₙ
1 15
5 27
10 42
20 72
Step-by-step explanation:
Given the sequence expression
aₙ = 15 + 3(n-1)
Substituting n = 1 for the first term
aₙ = 15 + 3(n-1)
a₁ = 15 + 3(1-1)
a₁ = 15 + 3(0)
a₁ = 15 + 0
a₁ = 15
Substituting n = 5 for the 5th term
aₙ = 15 + 3(n-1)
a₅ = 15 + 3(5-1)
a₅ = 15 + 3(4)
a₅ = 15 + 12
a₅ = 27
Substituting n = 10 for the 10th term
aₙ = 15 + 3(n-1)
a₁₀ = 15 + 3(10-1)
a₁₀ = 15 + 3(9)
a₁₀ = 15 + 27
a₁₀ = 42
Substituting n = 20 for the 20th term
aₙ = 15 + 3(n-1)
a₂₀ = 15 + 3(20-1)
a₂₀ = 15 + 3(19)
a₂₀ = 15 + 57
a₂₀ = 72
Therefore, the complete table will be:
Term # Value of aₙ
1 15
5 27
10 42
20 72
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