Problema Solution

If Tn = 3n - 7, how many terms are negative?

Answer provided by our tutors

Assuming n is integer and positive we have:

For n = 0

T0 = 3*0 - 7

T0 = -7

For n = 1

T1 = 3*1 - 7

T1 = -4

For n = 2

T2 = 3*2 - 7

T2 = -1

For n = 3

T3 = 3*3 - 7

T3 = 2 > 0

Three terms, T0, T1 and T2, are negative.