Q. 2

Mark the Correct alternative in the following:

For all n N, 3 × 52n + 1 + 23n + 1 is divisible by

A. 19

B. 17

C. 23

D. 25

Answer :

Given for all n N 3 × 52n+1 + 23n+1


For n=1,


3 × 53 + 24


3 × 125 + 16


375 + 16 = 391


For n=2,


3 × 55 + 27


3 × 3125 +128


9375 + 128 = 9503


H.C.F of 391, 9503 = 17

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Take the challenge, Quiz on VectorsTake the challenge, Quiz on VectorsTake the challenge, Quiz on Vectors37 mins
Vectors- Cosine & SIne RuleVectors- Cosine & SIne RuleVectors- Cosine & SIne Rule54 mins
Interactive Quiz on vector addition and multiplicationsInteractive Quiz on vector addition and multiplicationsInteractive Quiz on vector addition and multiplications38 mins
Addition of Vectors - Kick start Your PreparationsAddition of Vectors - Kick start Your PreparationsAddition of Vectors - Kick start Your Preparations47 mins
Scalar and Vector ProductScalar and Vector ProductScalar and Vector Product49 mins
Revise Complete Vectors & it's application in 50 MinutesRevise Complete Vectors & it's application in 50 MinutesRevise Complete Vectors & it's application in 50 Minutes51 mins
Scalar and vector product in one shotScalar and vector product in one shotScalar and vector product in one shot56 mins
Quick Revision of Vector Addition and MultiplicationsQuick Revision of Vector Addition and MultiplicationsQuick Revision of Vector Addition and Multiplications37 mins
Quiz | Vector Addition and MultiplicationsQuiz | Vector Addition and MultiplicationsQuiz | Vector Addition and Multiplications35 mins
Unit VectorsUnit VectorsUnit Vectors24 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
caricature
view all courses