insert two arirhmetic means between 15 and 36​

Sagot :

Answer:

15, 22, 29, 36

Step-by-step explanation:

Find the common difference first.

[tex] \tt{}a_{n} = a_{1} + (n - 1)d[/tex]

[tex]\tt{}36 = 15 + (4 - 1)d[/tex]

[tex]\tt{}36 = 15 + (3)d[/tex]

[tex]\tt{}36 = 15 + 3d[/tex]

[tex]\tt{}36 - 15 = 3d[/tex]

[tex]\tt{}21 = 3d[/tex]

[tex]\tt{} \frac{21}{3} = d[/tex]

[tex]\tt{}7 = d[/tex]

=============================

[tex] \\ \tt{}A_{1} = 15[/tex]

[tex]\\ \tt{}A_{2} = 15 + 7 = \boxed{ \tt{}22}[/tex]

[tex]\\ \tt{}A_{3} = 22 + 7 = \boxed{ \tt{}29}[/tex]

[tex]\\ \tt{}A_{4} = 29 + 7 = 36 \\ \\ \\ [/tex]

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