Septral Septral
  • 13-12-2020
  • Mathematics
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Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.

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mberisso
mberisso mberisso
  • 13-12-2020

Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

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

which for our case gives:

[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]

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