Write the sum using summation notation, assuming the suggested pattern continues. 8 + 27 + 64 + 125 + + n^3

∑ k³ and k from 2 to n.

Step-by-step explanation:

Given  : 8 + 27 + 64 + 125 + ... + n³.

To find: Write the sum using summation notation, assuming the suggested pattern continues.

Solution : We have given

8 + 27 + 64 + 125 + ... + n³.

We can write it in form of cube.

2³ +3³ +4³+5³+ n³.

So, the numbers is start from 2 to n.

We can write in summation form .

∑ k³ and k from 2 to n.

Therefore, ∑ k³ and k from 2 to n.

answer: c

substitute in the values.

for a:

f(0) = 0 + 9

f(0) = 9

a is a solution.

for b:

f(7) = 14 + 9

f(7) = 23

b is a solution.

for c:

f (3) = 6 + 9

f(3) = 15

c is not a solution. it's supposed to be 14.

for d:

f(2) = 4 + 9

f(2)= 13

d is a solution.