Rico owns a sporting goods store. He has agreed to donate $125 to the Centipede Valley High School baseball team for their equipment fund. In in addition, he will donate $18 for every home run the Centipedes hit during the season. The sequence shown represents the possible dollar amounts that Rico could donate for the season. 125, 143, 161, 179,

Respuesta :

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete but it can still be solved.

To answer this question, I'll solve for the general formula which to determine Rico's donations

The given sequence shows an Arithmetic sequence; such that

[tex]First\ Term = T_1 = 125[/tex]

[tex]Common\ Difference = d = 143 - 125[/tex]

[tex]d = 18[/tex]

The general formula (Tn) is as follows:

[tex]T_n = T_1 +(n - 1)d[/tex]

Substitute values for T1 and d

[tex]T_n = 125 +(n - 1) * 18[/tex]

Open Bracket

[tex]T_n = 125 +18n - 18[/tex]

Collect Like Terms

[tex]T_n = 125 - 18+18n[/tex]

[tex]T_n = 107+18n[/tex]