Question

Find the two arithmetic means between 41 and 80

Answer 1

Step-by-step explanation:

Total terms: 4

Missing terms: a₂ and a₃

an = 80

n = 4

a₁ = 41

General Term:  

Find the common difference, d:

80 = 41 + (4-1)(d)

80 = 41 + 3d

3d/3 =  39/3

d = 13

Find a₂ and a₃ using recursive formula  a₁=41 ;  

a₂ = a₂₋₁ + 13

a₂ = 41 + 13

a₂ = 54

a₃ = a₃₋₁ + 13

a₃ = 54 + 13

a₃ = 67

The two arithmetic means are 54 and 67.

The arithmetic sequence: 41, 54, 67, 80.

HOPE IT HELPS YOU

PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

the two arithmetic means are 54 and 67

hope you got your answer.