Respuesta :
Answer:
So the Correct option is
[tex]a_{1}=17;\ d=-3[/tex]
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 )
[tex]a_{1}=17[/tex]
For the second Term
B(2, 14),
[tex]a_{2}=14[/tex]
For the third Term
C(3, 11),
[tex]a_{3}=11[/tex]
For the fourth Term
D(4, 8),
[tex]a_{4}=8[/tex]
For the fifthTerm
E(5, 5)
[tex]a_{5}=5[/tex]
For the sixth Term
F( 6, 2 )
[tex]a_{6}=2[/tex]
Now Common Difference 'd' is given as
[tex]d=a_{2}-a_{1}=14-17=-3\\\therefore d=-3[/tex]
So the Correct option is
[tex]a_{1}=17;\ d=-3[/tex]