Mathematical induction practice · Mixed difficulty

Choose an answer to check it, or open “View answer” to study the explanation. Sign in to save progress to your account.

Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

Showing 121-121 of 121 questions

Preparing practice and saved progress…

121 Medium

121 of 121

Application +4 | -1

49^n+16 n+\lambda

is divisible by 64 for all

n \in \mathrm{N}

, then the least negative value of

\lambda

View answer and explanation

Correct option: B

-1

Option B (-1) is correct because when n=1,

49^n + 16n + \lambda

becomes

49 + 16 + \lambda = 65 + \lambda

, which is divisible by 64 if

\lambda = -1

Revision notes and key takeaways

Review MATHEMATICAL INDUCTION in your textbook or class notes, then use this set to check your understanding.

Showing 121-121 of 121 questions

Continue Your Practice