Answered

Get the most out of your questions with the extensive resources available on IDNLearn.com. Our experts provide timely, comprehensive responses to ensure you have the information you need.

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 :

C9wh8afi95idn
A 59.5 is the answer
Mhanifaidn

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

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.