Final answer:
The sum 9+18+27+36+…+9n in sigma notation is expressed as Σ₁⁹ᵢ = Σ₁⁹n, representing the sum of the series, where 9 is multiplied by every integer from 1 to n.
Step-by-step explanation:
To write the sum 9+18+27+36+…+9n in sigma notation, we can recognize that this is an arithmetic series where each term can be represented by 9i, where i is an integer that starts at 1 and increases by 1 for each term in the series, up to n terms. Therefore, the sigma notation for the sum is:
Σi=1n9i.
The sum 9+18+27+36+...+9n can be written in sigma notation as
Σ
k=1 nΣk(9k)
In this notation, the symbol Σ represents a sum, k is the index variable, 1 is the starting value of k, and nΣk(9k) represents the sum of the product of 9 and each value of k from 1 to n.
This sigma notation represents the sum of the series where we multiply 9 by each integer from 1 to n, effectively summing all n terms of the series.