Question

Please help mee dont answer if you dunno tho

Answer 1

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+3d.......a+(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