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Sagot :
Answer:
The series:
- 10, 16, 22, ...
This is an AP with the first term a₁ = 10 and common difference d = 6
a) Recursive formula:
- a₁ = 10,
- aₙ = aₙ₋₁ + 6
b) Explicit formula:
- aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
c) n = 5 ⇒ a₅ = ?
- a₅ = 6*5 + 4 = 34
d) S₁₇ = ?
- Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2
- S₁₇ = 17(2*10 + 16*6)/2 = 986
Step-by-step explanation:
sn=15+(n-1)2
the 20th row n=20 so the seats are
15+(20-1)(2)=53 seats
Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
Write a formula to illustrate this arithmetic sequence:
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