In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the common difference. similarly, in a geometric sequence, the nth term is given by 1an=a1•rn−1, where r is the common ratio. use these formulas to determine the indicated term in the given sequence.
the 10th term of 40,10, 5/2, 5/8,

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

We have that:

This is not an arithmetic sequence.

This sequence is geometric if:

This is a geometric sequence, in which:

The first term is 40, so

The common ratio is , so .

We have that:

The 10th term is . So:

Simplifying by 4, we have:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

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.