Find the sum of the first 15 terms of the sequence ‒8, ‒2, 4, 10, ...

The sequence seems to be adding 6 every time: -8, -2, 4, 10, 16, 22, 28, 34, 40, 46, 52, 58, 64, 70, 76. The next step [sum] would be to add the following all together, which would result in 510. Hope this helps!

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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

its an acute right triangle

step-by-step explanation: