Answer: 1,4,7,10,13
Five arithmetic means between -2 and 16
-2, _ , _ , _ , _ , _ ,16
FORMULA WE'LL USE: d = [tex]\frac{an - ak}{n - k}[/tex]
Terms: an = last term; ak = first term; n and k = the no. of term
Given:
a₁ = -2; a₇ = 16; a₂ - a₆ = ?
d = [tex]\frac{an - ak}{n - k}[/tex]
d = [tex]\frac{16 - (-2)}{7-1}[/tex]
d = [tex]\frac{18}{6}[/tex]
d = 3
Hence, the common difference is 3. We can now find the terms between them.
a₂ = -2 + 3 = 1
a₃ = 1 + 3 = 4
a₄ = 4 + 3 = 7
a₅ = 7 + 3 = 10
a₆ = 10 + 3 = 13
1,4,7,10,13 are the missing or the terms between them.
So, -2, 1 , 4 , 7 , 10, 13 , 16.
