1.

If the coefficients of rth, (r + 1)th, and (r + 2)th terms in the binomial expansion of \[{{(1+y)}^{m}}\] are in A.P, then m and r satisfy the equation

A. \[{{m}^{2}}-m\left( 4r-1 \right)+4{{r}^{2}}-2=0\]
B. \[{{m}^{2}}-m\left( 4r+1 \right)+4{{r}^{2}}+2=0\]
C. \[{{m}^{2}}-m(4r+1)+4{{r}^{2}}-2=0\]
D. \[{{m}^{2}}-m\left( 4r-1 \right)+4{{r}^{2}}+2=0\]
Answer» D. \[{{m}^{2}}-m\left( 4r-1 \right)+4{{r}^{2}}+2=0\]


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