KlynnV526077 KlynnV526077
  • 03-11-2022
  • Mathematics
contestada

If {an) is an arithmetic sequence where a1=-23 and the common difference is 6, find a79

If an is an arithmetic sequence where a123 and the common difference is 6 find a79 class=

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ElleC772821 ElleC772821
  • 03-11-2022

Given:

The first term

[tex]a_1=-23[/tex]

The common difference, d=6

To find

[tex]a_{79}[/tex]

Using the nth term formula,

[tex]\begin{gathered} a_n=a+(n-1)d \\ a_{79}=-23+(79-1)6 \\ =-23+(78)6 \\ =-23+468 \\ =445 \end{gathered}[/tex]

Hence, the answer is,

[tex]a_n=445[/tex]

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