Asked by Alex
Consider the arithmetic series 7 + 19 + 31 + 43 + 55 + pr004-1.jpg.
a) How many terms are less than 1000? (3 marks - show your work)
b) How many terms are less than 2000? (3 marks - show your work)
a) How many terms are less than 1000? (3 marks - show your work)
b) How many terms are less than 2000? (3 marks - show your work)
Answers
Answered by
Steve
We have
a=7
d=12
So, when does Tn exceed 1000?
Tn = 7+12(n-1) = 12n-5
12n-5 < 1000
12n < 1005
n < 83.75
So, the first 83 terms are less than 1000
Similarly for 2000
a=7
d=12
So, when does Tn exceed 1000?
Tn = 7+12(n-1) = 12n-5
12n-5 < 1000
12n < 1005
n < 83.75
So, the first 83 terms are less than 1000
Similarly for 2000
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