Let the coefficients of three consecutive terms in the binomial expansion of (1+2x)ⁿ be in the ratio 2: 5: 8. Then the coefficient of the term, which is in the middle of those three terms, is _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 29 Jan, Morning shift · Q26

JEE Main 202329 Jan, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let the coefficients of three consecutive terms in the binomial expansion of

(1+2x)^n

be in the ratio 2 : 5 : 8. Then the coefficient of the term, which is in the middle of those three terms, is __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Binomial Theorem and Its Simple Applications Question with Answer (29 Jan Morning shift, Q26) | JEE Arc

JEE Main 2023 · 29 Jan, Morning shift · Q26

JEE Main 202329 Jan, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let the coefficients of three consecutive terms in the binomial expansion of

(1+2x)^n

be in the ratio 2 : 5 : 8. Then the coefficient of the term, which is in the middle of those three terms, is __________.

Your answerType your answer. Integers and decimals are accepted.