Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

n an
1 5
2 −10
3 20
the summation of 5 times negative 2 to the n minus 1 power, from n equals 4 to 15
the summation of 5 times negative 2 n, from n equals 1 to 15
the summation of 5 times negative 2 to the n plus 1 power, from n equals 4 to 15
the summation of 5 times negative 2 times n to the n plus 1 power, from n equals 1 to 15

Danny draws a transversal, t, on two parallel lines ab and cd, as shown below: he makes the following table to prove that the alternate interior angles are equal: which is the missing justification? (6 points) corresponding angles formed by a transversal on parallel lines are supplementary. corresponding angles formed by a transversal on parallel lines are congruent. co-interior angles formed by a transversal on parallel lines are congruent. co-exterior angles formed by a transversal on parallel lines are congruent.

Erin bought christmas cards for $2 each to send to her family and friends. which variable is the dependent variable?

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. which set of triangles shows the similar triangles created by the altitude in the diagram?