SereenK670368 SereenK670368
  • 26-10-2022
  • Mathematics
contestada

The 10th term of an A.P is double the 2nd term Find the 8th term, given that the first term is 7

Respuesta :

AnoushkaF72285 AnoushkaF72285
  • 26-10-2022

Step 1

The nth term of an A.P is given as;

[tex]\begin{gathered} a_n=a_1+(n-1)d \\ a_1=7 \end{gathered}[/tex]

Step 2

[tex]\begin{gathered} a_2=7+(2-1)d \\ a_2=7+d \\ a_{10}=2(7+d)=14+2d \\ a_{10}=7+9d \\ 7+9d=14+2d \\ 7d=7 \\ d=1 \end{gathered}[/tex]

Hence the 8th term will be;

[tex]\begin{gathered} a_8=7+(8-1)d \\ a_8=7+7(1) \\ a_8=14 \end{gathered}[/tex]

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