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riadik2000 [5.3K]
3 years ago
14

5. What is the 38th term of the arithmetic sequence where *

Mathematics
2 answers:
sveticcg [70]3 years ago
6 0
A 59.5 is the answer
inn [45]3 years ago
5 0

Answer:

  • A. 59.5

Step-by-step explanation:

<u>Given AP with </u>

  • a₄ = 8.5 and a₇ = 13
  • a₃₈ = ?

<u>Equation for nth term:</u>

  • aₙ = a₁ + (n - 1)d

<u>Use same for given terms:</u>

  • a₄ = a₁ + 3d = 8.5
  • a₇ = a₁ + 6d = 13

<u>Subtract the last two equations:</u>

  • 3d = 13 - 8.5
  • d = 4.5/3
  • d = 1.5

<u>Find a₁:</u>

  • a₁ = 8.5 - 3*1.5 = 4

<u>Now find a₃₈:</u>

  • a₃₈ = 4 + 1.5*37 = 59.5

Correct choice is A

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