👤
RAM1241IN
Answered

In a mini theatre, there are 8 people seated on the first row,15 people on the second row, and 22 people seated on the third row. If the pattern continues, how many seats would be on the 35th row?

4. what is the rule in finding the nth term?
5.what is the answer to the problem?​

Sagot :

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.

In Studier: Other Questions