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sdas [7]
3 years ago
5

Please someone help! I've been struggling with this assignment! SHOW ALL WORK.

Mathematics
2 answers:
Nady [450]3 years ago
6 0

Answer:

<u>The series:</u>

  • 10, 16, 22, ...

This is an AP with the first term a₁ = 10 and common difference d = 6

a) <u>Recursive formula:</u>

  • a₁ = 10,
  • aₙ = aₙ₋₁ + 6

b) <u>Explicit formula:</u>

  • aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

c) <u>n = 5 ⇒ a₅ = ?</u>

  • a₅ = 6*5 + 4 = 34

d) <u>S₁₇ = ?</u>

  • Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2
  • S₁₇ = 17(2*10 + 16*6)/2 = 986
Ilia_Sergeevich [38]3 years ago
6 0

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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