Find the sum of `3 , frac{2}{3+1}, frac{5}{6+2}`

Find the sum 3 C_1 + 5C_2

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

dy/dx = frac{2x+y}{x}

3frac{1}{13}+1frac{4}{13}+2frac{3}{13}

Find the sum of: 24 terms and n terms of 2 (1)/(2) , 3 (1)/(3) , 4 (1)/(6) ,5 ,......,

cos frac{3pi}{4}-iota sin frac{3pi}{4}

frac{1}{sqrt7-4} frac{1}{sqrt11-7}

Find the sum of 20 terms of the series (x+(1)/(2))+(3x-(1)/(6))+(5x+(1)/(18))+....

Find the sum of n terms of the series 1^3+3.2^2+3^3+3.4^2+5^3+3.6^2+....... when (i)n is odd (ii)n is even

Find the sum of 7 terms of the sequence (1/5+2/(5^2)+3/(5^3)),\ (1/(5^4)+2/(5^5)+3/(5^6)),\ (1/(5^7)+2/(5^8)+3/(5^9)),\ ,