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A theatre has 50 seats on the front row. There are 4 additional seats in each following row.

Part A write a formula to represent the number of each seats in any given row as an explicit formula.

Part b How many seats are in the 20th row

A theatre has 50 seats on the front row There are 4 additional seats in each following row Part A write a formula to represent the number of each seats in any g class=

Respuesta :

[tex]\boxed { \boxed { T_n = a_1 + d(n - 1)}}[/tex]

[tex]\text {Given that }a_1 = 50 \text { and } d = 4[/tex]

[tex]T_n = 50 + 4(n - 1) [/tex]

[tex]T_n = 50 + 4n - 4[/tex]

[tex]T_n = 46 + 4n[/tex]

[tex]\boxed { \boxed {T_n = 46 + 4n }}[/tex]

When n = 20,
[tex]T_{20} = 46 + 4(20) = 126[/tex]

[tex]\boxed { \boxed {\text{Answer: The 20th term is 126}}}[/tex]

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