Question

Pleasee helppp insert two arithnetic means between -5 and 1

Answer 1

a₂ = -3

a₃ = -1

Explanation:

We have to insert two arithmetic means between -5 and 1

Let a₁ and b₂ be the two arithmetic means between -5 and 1

-5, a₂, a₃, 1

Here,

• a₄ = 1

• a₁ = -5

We know that the nth term of an Arithmetic sequence

aₙ = a₁ + (n-1)d

a₄ = -5 + (4-1)d

1 = -5 + 3d

1 + 5 = 3d

3d = 6

Dividing both sides by 2

d = 2

Also

a₂ = a₁ + (2-1)d

a₂ = -5 + d

a₂ = -5 + 2 ∵ d = 2

a₂ = -3

a₃ = a₁ + (3-1)d

a₃ = -5 + 2d

a₃ = -5 + 2(2) ∵ d = 2

a₃ = -5 + 4

a₃ = -1

Thus,

a₂ = -3

a₃ = -1

Thus, the sequence becomes:

-5, -3, -3, 1