Question

NO LINKS!! URGENT HELP PLEASE!!!

NOT MULTIPLE CHOICE!!

8. a. Finish the table
b. Name the type of sequence
c. Find the equation for the following sequence ​

Answer 1

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

`a_(n)` = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1. That gives us our common difference or slope. The y intercept is -7. That is the value is you worked backwards until you get to n = 0. The initial value is 3. That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear. I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence. If my explanation is confusing it is me and not you.

Answer 2

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Step-by-step explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

• t(n) is the nth term in the sequence
• n is the term number
• d is the common difference
• a is the first term

For Question:

• d=43-33=10
• a=?

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7