Evaluate 12sigma n=3 -5n-1

  -385

Step-by-step explanation:

Perhaps you want the sum of 10 terms of the arithmetic sequence ...

  -16, -21, -26, ..., -61

The sum of any arithmetic sequence is the average term multiplied by the number of terms. The average term is the average of the first and last terms. Here, that is ...

  ((-16-61)/2)(10) = -385

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions