Write a rul for the sequence. then find the unknown term
3/10, 2/5 blank 3/5, 7/10

The constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.

And this is the rule:

aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10

Step-by-step explanation:

Let's find the unknown term and the sequence:

1st term = 3/10

2nd term = 2/5 = 4/10

3rd term = x

4th term = 3/5 = 6/10

5th term = 7/10

As we can see the constant is to add 1/10 to the previous term, therefore the unknown term is 5/10 or 1/2.

And this is the rule:

aₙ = aₙ₋₁ + 1/10 ⇒ a₁ = 3/10

a₂ = a₁ + 1/10 ⇒ a₂ = 4/10 = 2/5 (Simplifying)

a₃ = a₂ + 1/10 ⇒ a₃ = 5/10 = 1/2 (Simplifying)

a₄ = a₃  + 1/10 ⇒ a₄ = 6/10 = 3/5 (Simplifying)

a₅ = a₄ + 1/10 ⇒ a₅ = 7/10

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !