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  • 16-04-2021
  • Mathematics
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Find the 64th term of the arithmetic sequence 29, 38, 47, ...

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unicorn3125
unicorn3125 unicorn3125
  • 16-04-2021

Answer:

         a₆₄ = 596

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = 38 - 29 = 9

a₁ = 29

Therefore:

                 [tex]a_{64} =29+9(64-1)\\\\a_{64} =29+9\cdot63\\\\a_{64}=596[/tex]

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