CBSE Class 11-science Answered

2.4^{2n + 1} + 3^{3n + 1} for all n is divisible by which of the number - 2, 3, 4, 11.

please explain how we can solve such types of other question.

Asked by BHAVYA PREETI | 15 Oct, 2014, 11:03: AM

Expert Answer

2.4 to the power of 2 n plus 1 end exponent plus 3 to the power of 3 n plus 1 end exponent equals 2.4 to the power of 2 n end exponent.4 plus 3 to the power of 3 n end exponent.3 equals 8.16 to the power of n plus 3.27 to the power of n equals 8.16 to the power of n plus 3. left parenthesis 16 plus 11 right parenthesis to the power of n equals 8.16 to the power of n plus 3. left square bracket 16 to the power of n plus 16 to the power of n minus 1 end exponent.11 n plus to the power of n C subscript 2.16 to the power of n minus 2 end exponent.11 squared plus..................... plus 11 to the power of n right square bracket equals left square bracket 8.16 to the power of n plus 3.16 to the power of n right square bracket plus 3.16 to the power of n minus 1 end exponent.11 n plus 3. to the power of n C subscript 2.16 to the power of n minus 2 end exponent.11 squared plus..................... plus 3.11 to the power of n equals 11.16 to the power of n plus 3.16 to the power of n minus 1 end exponent.11 n plus 3. to the power of n C subscript 2.16 to the power of n minus 2 end exponent.11 squared plus..................... plus 3.11 to the power of n equals 11 open square brackets 16 to the power of n plus 3.16 to the power of n minus 1 end exponent. n plus 3. to the power of n C subscript 2.16 to the power of n minus 2 end exponent.11 plus..................... plus 3.11 to the power of n minus 1 end exponent close square brackets space left square bracket t a k i n g space 11 space c o m m o n space f r o m space a l l space t h e space t e r m s right square bracket therefore 2.4 to the power of 2 n plus 1 end exponent plus 3 to the power of 3 n plus 1 end exponent space i s space d i v i s i b l e space b y space 11.

Such sums have to be solved by carefully examining the terms, which is to be divided and by what to be divided.

Answered by Prasenjit Paul | 16 Oct, 2014, 10:31: AM

CBSE Class 11-science Answered

2.4^{2n + 1} + 3^{3n + 1} for all n is divisible by which of the number - 2, 3, 4, 11.

Concept Videos

Binomial Theorem for Positive Index

General Term in Binomial Expansion

Binomial Theorem for Positive Index

General term in Binomial expansion ...

Quick revision on Binomial theorem for positive index ...

CALL US / WHATSAPP

Please Login or Sign up to continue!

CBSE Class 11-science Answered

2.42n + 1 + 33n + 1 for all n is divisible by which of the number - 2, 3, 4, 11.

Concept Videos

Binomial Theorem for Positive Index

General Term in Binomial Expansion

Binomial Theorem for Positive Index

General term in Binomial expansion ...

Quick revision on Binomial theorem for positive index ...

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App

2.4^{2n + 1} + 3^{3n + 1} for all n is divisible by which of the number - 2, 3, 4, 11.