josephbonkena
josephbonkena josephbonkena
  • 19-04-2020
  • Mathematics
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Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..

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jimrgrant1 jimrgrant1
  • 19-04-2020

Answer:

- 146

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus

[tex]a_{35}[/tex] = - 10 + (34 × - 4) = - 10 - 136 = - 146

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