The series 12 Σ(10) j=4 simplifies to adding the number 10 a total of 9 times (since j runs from 4 to 12), resulting in the sum of 90.
To solve this expression, we need to understand the sigma notation.
Σ is a symbol used to represent a summation. The value of the expression inside the sigma is added up for different values of the variable.The sum as described by the notation 12 Σ(10) j=4 is a finite series where the constant 10 is being summed from j=4 to j=12. Since the value of 10 does not depend on j, it is effectively the same as adding the number 10 to itself 9 times (since j runs from 4 to 12, inclusive, which is 12 - 4 + 1 = 9 terms). Therefore, the sum is calculated as 10 multiplied by the number of terms in the series, which is:
10 * 9 = 90.
The result of this summation is 90.