Question

Consider the arithmetic sequence 71, 68, 65, ____
a.what is the common difference
b. what is it's algebraic form of this sequence
c.is 0 a term of this sequence?
d. how many positive numbers are in this sequence. ​

Answer 1

Answer:

a. 3

c. No

d.24

Step-by-step explanation:

a. common difference (cd)= a1-a2= 71-68 = 3

Answer 2

Answer:

a. 71-68= -3

b. algebraic expression= 71+(n-1)-3

=71-3n+3

=74-3n

c. 74-3n is greater than 0 so no..

d. 74-3n= nth term

n= 74/3= 24.6 so there are 24 positive terms