Mee dont answer if you dunno tho
you
the graph represents the first three terms in an arithmetic sequence.
a. find the explicit expression for this sequence
b. find the recursive expression for this sequence
c what is the 15th term?

A). Find the explicit expression for this sequence

Ans:  A(n)=3n-2

B. Find the recursive expression for this sequence

Ans: A(n)=A(n-1)+3

C. What is the 15th term?

Ans: 15th term is 43

Step-by-step explanation:

Arithmetic sequence is given by a,a+d,a+2d,a+3da+(n-1)d

Where a is first term of arithmetic sequence

Let,

The coordinates of x axis represent the location of term, say n

The coordinates of y axis represent the value of pespective term

We can write

Arithmetic sequence as 1,4,7

Where a=1 and a+d=4

For value of d,

d=(a+d)-(a)=(4)-(1)=3

A. Find the explicit expression for this sequence

Ans:

Explicit expression is given by A(n)=a+(n-1)d

For given Arithmetic sequence as 1,4,7

Explicit expression will be

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

A(n)=1+(n-1)3

A(n)=1+3n-3

A(n)=3n-2

B. Find the recursive expression for this sequence

Ans:

Recursive expression is given by A(n)=A(n-1)+d

For given Arithmetic sequence as 1,4,7

Recursive expression will be

A(n)=A(n-1)+d

A(n)=A(n-1)+3

C. What is the 15th term?

Ans:

For given Arithmetic sequence as 1,4,7

Explicit expression is given by

A(n)=3n-2

For 15th term n=15

A(n)=3(15)-2=45-2=43

Thus, 15th term is 43