maxxx7887 maxxx7887
  • 07-12-2019
  • Mathematics
contestada

Find the first term in the sequence for which a31 = 197 and d = 10. (a = a +
(n-1) d.

Respuesta :

absor201
absor201 absor201
  • 14-12-2019

The first term is -103

Step-by-step explanation:

We will use the explicit formula for aithmetic sequence:

the explicit formula is given by:

[tex]a_n = a_1 + (n-1)d\\We\ know\ that\\d = 10\\a_{31} = 197[/tex]

Putting n=31 and d=10 in the formula

[tex]a_{31}=a_1+(31-1)(10)\\197 = a_1 +(30)(10)\\197 = a_1 + 300\\a_1 = 197-300\\a_1 = -103[/tex]

Hence,

The first term is -103

Keywords: Arithmetic sequence, Common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/6356614
  • brainly.com/question/6281564

#LearnwithBrainly

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