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Greatest Term (numerically) - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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27 Questions around this concept.
Solve by difficulty
If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of are in the ratio 5:10:14, then the largest coefficient in this expansion is.
Find the numerically greatest term in the expansion of , when
.
The numerically greatest term in
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The largest term in the expansion of
The largest term in the expansion of where
is
The greatest coefficient in the expansion of
If the sum of the coefficients in the expansion is 1024, then the value of the greatest coefficient in the expansion is:
Numerically, the greatest value of the term in the expansion of , when x=1/5, is
Concepts Covered - 1
Greatest Term (numerically)
Numerically Greatest Value:
The number which has the highest modulus value is called the Numerically Greatest Value
Eg, out of 4, -7, -5, 6, 1
-7 has the Numerically Greatest Value because its mod value (=7) is the largest among all the mod values of the given numbers
Method to find the Numerically Greatest Term of the expansion (a + b)n
First, find the value of m which is
If m is an integer, then Tm and Tm + 1 are numerically equal and both are greatest terms.
If m is not an integer, then T[m] + 1 is the greatest term, where [m] is an integral part of m.
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