Question

Use the graph below to determine a1 and d for the sequence. graphed sequence showing point 1, 17, point 2, 14, point 3, 11, point 4, 8, point 5, 5, and point 6, 2 a1 = 1; d = 3 a1 = 1; d = −3 a1 = 17; d = 3 a1 = 17; d = −3

Answer 1

a1 = 17; d = −3

Explanation:

Answer 2

So the Correct option is

`a_(1)=17;\ d=-3`

Explanation:

Given:

Let

A(1, 17),

B(2, 14),

C(3, 11),

D(4, 8),

E(5, 5), and

F(6, 2) be the Points For The Sequence

Solution:

For the First Term

A( 1, 17 )

`a_(1)=17`

For the second Term

B(2, 14),

`a_(2)=14`

For the third Term

C(3, 11),

`a_(3)=11`

For the fourth Term

D(4, 8),

`a_(4)=8`

For the fifthTerm

E(5, 5)

`a_(5)=5`

For the sixth Term

F( 6, 2 )

`a_(6)=2`

Now Common Difference 'd' is given as

`d=a_(2)-a_(1)=14-17=-3\\\therefore d=-3`

So the Correct option is

`a_(1)=17;\ d=-3`