Answer with Step-by-step explanation:
The sequence:
8, 15, 22, ...a₃₅
Where:
- a₁ = 8
- a₂ = 15
- a₃ = 22
- a₃₅ = Unknown; n = 35
- d (common difference) = (15 - 8) = 7
Arithmetic Sequence general rule:
an = a₁ + (n-1)(d)
4.) The rule for the sequence:
an = a₁ + (n-1)(d)
an = 8 + (n-1)(7)
an = 8 + 7n - 7
an = 7n + 8-7
an = 7n + 1
ANSWER: an = 7n + 1
5.) How many seat would be on 35th row?
Find a₃₅; n = 35
an = 7n + 1
a₃₅ = 7(35) + 1
a₃₅ = 245 + 1
a₃₅ = 246
ANSWER: There are 246 seats on 3th row.
