netflixacc0107
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  • 06-12-2018
  • Mathematics
contestada

find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9

find the first term of the arithmetic sequence in which a38 5 and the common difference is 29 class=

Respuesta :

lisboa lisboa
  • 06-12-2018

Answer:

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

[tex]a_n = a_1 + (n-1)d[/tex]

WE make the formula for a_38 th term

Plug in 38 for n

[tex]a_{38} = a_1 + (38-1)d[/tex]

Now plug in -2.9 for d and -5 for a_38

[tex]-5 = a_1 + (38-1)(-2.9)[/tex]

[tex]-5 = a_1 - 107.3[/tex]

Now add 107.3 on both sides

102.3 = a_1

option A is correct



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ellamai16 ellamai16
  • 06-12-2018

Answer: 102.3 Hope that helps




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