dylanarellano dylanarellano
  • 02-12-2020
  • Mathematics
contestada

What is the 97th term of the arithmetic sequence -16,2,20

Respuesta :

Hrishii
Hrishii Hrishii
  • 02-12-2020

Answer:

1712

Step-by-step explanation:

Given arithmetic sequence is: -16,2,20

Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18

n = 97, [tex] a_{97}=?[/tex]

[tex]\because a_n = a + (n-1)d\\\\

\therefore a_{97}= - 16 + (97-1)\times 18\\\\

\therefore a_{97}= - 16 + 96\times 18\\\\

\therefore a_{97}= - 16 + 1728\\\\

\therefore a_{97}=1,712\\\\[/tex]

Answer Link
UnLedZep
UnLedZep UnLedZep
  • 02-12-2020

Answer:

1712

Step-by-step explanation:

Formula of the sequence:

[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]

So 1712 is the 97th term

Answer Link

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