Tinutulungan ka ng Imhr.ca na makahanap ng maaasahang mga sagot sa lahat ng iyong mga katanungan mula sa mga eksperto. Sumali sa aming platform upang kumonekta sa mga eksperto na handang magbigay ng detalyadong sagot sa iyong mga tanong sa iba't ibang larangan. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming komprehensibong Q&A platform.

insert five(5) arithmetic mean between 39 and -3​

Sagot :

✎ Answer:

The arithmetic means are 32, 25, 18, 11, and 4.

[tex]{\: \:}[/tex]

Step by Step Solution:

Let's first understand what are arithmetic means:

  • Arithmetic means are the terms between two given numbers in an arithmetic sequence.

Step 1:

We first express the problem as a sequence.

  • 39, _ , _ , _ , _ , _ , -3, where the arithmetic means are represented as the missing terms.

From the sequence, it is given that

  • the first term a₁ = 39, and
  • the seventh term a₇ = -3

Step 2:

We solve for the common difference d using the formula for finding the nth term.

  • aₙ = a₁ + (n - 1) d

The number of terms n = 7, so

  • a₇ = 39 + (7 - 1) d
  • -3 = 39 + 6d
  • 6d = -39 - 3
  • 6d = -42
  • d = -7

Step 3:

We solve for the arithmetic means a₂, a₃, a₄, a₅ and a₆.

We find these by adding the common difference to their preceding terms:

  • a₂ = a₁ + d = 39 + (-7) = 32
  • a₃ = a₂ + d = 32 + (-7) = 25
  • a₄ = a₃ + d = 25 + (-7) = 18
  • a₅ = a₄ + d = 18 + (-7) = 11
  • a₆ = a₅ + d = 11 + (-7) = 4

The arithmetic means are 32, 25, 18, 11, and 4.

[tex]{\: \:}[/tex]

[tex]{\huge{\underline{\sf{Hope\:It\:Helps}}}}[/tex]

#LetsLearn #BeBrainly