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5. What is the 38th term of the arithmetic sequence where *
(5 Points)
a4 = 8.5 and az = 13
O 59.5
O 61
O 64
65.5

5 What Is The 38th Term Of The Arithmetic Sequence Where 5 Points A4 85 And Az 13 O 595 O 61 O 64 655 class=

Sagot :

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A 59.5 is the answer
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Answer:

  • A. 59.5

Step-by-step explanation:

Given AP with

  • a₄ = 8.5 and a₇ = 13
  • a₃₈ = ?

Equation for nth term:

  • aₙ = a₁ + (n - 1)d

Use same for given terms:

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

Subtract the last two equations:

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

Find a₁:

  • a₁ = 8.5 - 3*1.5 = 4

Now find a₃₈:

  • a₃₈ = 4 + 1.5*37 = 59.5

Correct choice is A

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