Question

consider an arithmetic sequence 71,68,65 a,how many positive numbers are in this sequence b, which is the largest negative number in this sequence

Answer 1

Answer:

Step-by-step explanation:

71,68,65 ...........

Common difference = -3

nth terms = 71 + (n-1)(-3)= 71 - 3n +3 = 74 - 3n

a) 74 - 3n > 0

74 > 3n

n < 74/3

n < 24.6

So there are 24 positive terms

b) Largest negative term will be 25th term

=74-3(25) = 74-75= -1