If the number of term in (1+x)^n be 11, find the 5th term and the valu

1.	If the number of term in (1+x)^n be 11, find the 5th term and the value of n
Answer» SOLUTION GIVEN $\sf{The \: number \: of \: terms \: in \: \: {(1 + x)}^{n} \: is \: 11}$ TO DETERMINE The VALUE of n 5 th term EVALUATION Here it is given that $\sf{The \: number \: of \: terms \: in \: \: {(1 + x)}^{n} \: is \: 11}$ We know that $\sf{The \: number \: of \: terms \: in \: \: {(1 + x)}^{n} \: is \: (n + 1)}$ So by the given condition n + 1 = 11 ∴ n = 10 Hence the required value of n = 10 5 th term $= \sf{t_5}$ $= \sf{t_{4 + 1}}$ $= \sf{ {}^{10}C_4 \: {x}^{4} }$ $= \sf{ 210 \: {x}^{4} }$ ━━━━━━━━━━━━━━━━ Learn more from BRAINLY :- 1. If 77Cr is MAXIMUM then r = …………. (A) 38 (B) 38.5 (C) 39 (D) 4 brainly.in/question/26458813 2. Find positive value of n for which the coefficient of x2 in the expansion of ( 1 + x )n is 10. brainly.in/question/34076092