If f is a function satisfying | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions
Current NCERT chapter
Academic session 2026-27,
Chapter 8 in the current curriculum.
Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter Sequence and Series. This page offers a step-by-step solution to the specific question from Exercise 5, Question 7:
If f is a function satisfying f(x +y) = f(x) f(y) for all x,y 
N such that f(1) = 3
and , find the value of n.
.
With detailed answers and explanations for each chapter, students can strengthen their understanding and prepare confidently for exams. Ideal for CBSE and other board students, this resource will simplify your study experience.
Question 7: If f is a function satisfying f(x +y) = f(x) f(y) for all x,y N such that f(1) = 3
and , find the value of n.
Answer:
It is given that,
f (x + y) = f (x) × f (y) for all x, y ∈ N … (1)
f (1) = 3
Taking x = y = 1 in (1), we obtain
f (1 + 1) = f (2) = f (1) f (1) = 3 × 3 = 9
Similarly,
f (1 + 1 + 1) = f (3) = f (1 + 2) = f (1) f (2) = 3 × 9 = 27
f (4) = f (1 + 3) = f (1) f (3) = 3 × 27 = 81
∴ f (1), f (2), f (3), …, that is 3, 9, 27, …, forms a G.P. with both the first term and common ratio equal to 3.
It is known that, 
It is given that,
Thus, the value of n is 4.
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Study Tips for Answering NCERT Questions:
NCERT questions are designed to test your understanding of the concepts and theories discussed in the chapter. Here are some tips to help you answer NCERT questions effectively:
- Read the question carefully and focus on the core concept being asked.
- Reference examples and data from the chapter when answering questions about Sequence and Series.
- Review previous year question papers to get an idea of how such questions may be framed in exams.
- Practice answering questions within the time limit to improve your speed and accuracy.
- Discuss your answers with your teachers or peers to get feedback and improve your understanding.
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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 5 , Question 7: If f is a function satisfying f(x +y) = f(x) f(y) for all x,y N such that f(1) ....
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