Respuesta :

merlynthewhizz
The rule for the Arithmetic sequence is adding 13

The formula is given in the form
[tex]n_{th} [/tex] term = [tex]dn- 0^{th} [/tex] term. where [tex]d[/tex] is the difference between consecutive terms

We have [tex]d=13[/tex] and the [tex]0^{th} [/tex] term = 45 - 13 = 32

The formula for the sequence in question is given by
[tex]n_{th} [/tex] term = 13n + 32

Hence, the [tex]43^{th} [/tex]term is given = 13(43) + 32 = 591