What is the explicit formula for the arithmetic sequence below?
-9, - 4, 1, 6, 11,

!

a = 5n - 14

Step-by-step explanation: To write an explicit formula for an arithmetic sequence, we first need to identify the zero term of our sequence.

Since we know this is an arithmetic sequence, each time a number increases by 5 so our common difference is 5.

To find the zero term of the sequence, we will need to extend our arithmetic sequence so we will be subtracting 5 from -9 and we will get -14.

Now, we use the generic version for finding the nth term of an arithmetic sequence.

Explicit formula: a = 5n - 14

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it