What is the sum of the sequence?

−32+(−34)+(−36)+...+(−778)+(−780)=< br />
Is it -152250 I need a good explanation!!!

The sum of the sequence is -152250.

Step-by-step explanation:

Given : Sequence

To find : What is the sum of the sequence?

Solution :

The given sequence is in Arithmetic sequence as the difference between them is same.

Where, the first term is a=-32

The common difference is

The last term is l=-780.

The last term formula is

The sum of n terms formula is

Therefore, the sum of the sequence is -152250.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.