In an ap first term is last number is 29 sum of term 155 find the common difference of ap

In an ap first term is last number is 29 sum of term 155 find the comm

1.	In an ap first term is last number is 29 sum of term 155 find the common difference of ap
Answer» In the given APa=2, l =29 and Sn=155We know thatSum of n terms = Sn={tex}\\frac{n}{2}{/tex}(a+l)=155{tex}\\therefore{/tex}\xa0{tex}\\frac{n}{2}{/tex}(2+29)=155{tex}\\mathrm n=\\frac{155\\times2}{31}=10{/tex}{tex}\\text{Now l=a+(n-1)d}{/tex}or 29=2+(10-1)d29=2+9d29-2=9d27 = 9dd = 3