Consider the arithmetic sequence 10,12,14,16 if n is an integer, which of these functions generate the sequence?

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

The nth term of an arithmetic sequence is:

Where, a is the first term, d is the common difference and .

Putting in the above formula, we get

Therefore, the function generates the sequence.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh