# Which term of A.P

We have the A.P as 100, 97, 94, 91 …

So, a = 100

d= 97 – 100 = – 3

Now recall that, nth term of an AP is Tn = a + (n – 1)d

Tn = 100 + (n – 1)(– 3)

= 100 – 3n + 3

Tn = 103 – 3n

Since we need negative term, Tn < 0

So, 103 – 3n < 0

103 < 3n

< n

34.333 < n

n>34

i.e. N = 35

n=35 for the first negative term in the given A.P.

T35 = a + (35 – 1)d

= 100 + 34 × – 3

= 100 – 102

= – 2

the first negative term of the given AP is – 2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Arithmetic Progression- Don't miss these Questions56 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

In an A.P. 5th teGujarat Board Mathematics

Which term of A.PGujarat Board Mathematics

If in an A.P., T<Gujarat Board Mathematics

If in an A.P., T<Gujarat Board Mathematics

Find the 10th terGujarat Board Mathematics

Which term of A.PGujarat Board Mathematics

Can any term of AGujarat Board Mathematics

If for A.P., T<suGujarat Board Mathematics

For A.P. T18Gujarat Board Mathematics

Find the nth termGujarat Board Mathematics