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

Answer:

So the Correct option is

$a_{1}=17;\ d=-3$

Step-by-step 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

$a_{1}=17;\ d=-3$