The number of positive terms in the sequence xn=1954.nPn− (n+3)P3 (n+1)Pn+1,n∈N is

# The number of positive terms in the sequence  is

1. A

2

2. B

3

3. C

4

4. D

5

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

We have

$\therefore \frac{171-4{n}^{2}-20n}{4.n!}>0$

$4{n}^{2}+20n-171<0$which is true for  $n=1,2,3,4$

$\therefore$ Given sequence has 4 positive terms

## Related content

 Consent Letter – How to Write Consent Letter with Format and Samples Sarvepalli Radhakrishnan Biography Relieving Letter Format, Samples and Templates for Employee How to Write Authorization Letter with Format, Samples and Tips Value of Legal Education in India – All You Need to Know 10 Ways that Education will Improve Your Life! 10 Time Management Tips to Use in Your Exam Preparation Letter to Principal with Format and Samples What is Next Test: National Exit Test – Details, Patterns, Eligibility What is Digital Literacy, Its Importance, and Challenges in Education?

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)