What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 3?

Given:

First term of an arithmetic sequence = 5

Second term = 3

To find:

The explicit formula for the given arithmetic sequence.

Solution:

We have,

First term:

Second term:

Common difference is

Now, the explicit formula for an arithmetic sequence is

where, a is first term and d is common difference.

Putting a=5 and d=-2, we get

It can also be written as

Here, n is an integer greater than or equal to 1.

Domain is the set of input values.

Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.