The number of integral terms in the expansion of (51/2+71/81024, is

The general term Tr+1 in the expansion of(51/2+71/81024 is given by          Tr+1=1024Cr51/21024−r71/8r⇒ Tr+1=1024Cr5512−r/27r/8⇒ Tr+1= 1024Cr5512−r5r/27r/8⇒ Tr+1= 1024Cr5512−r54×7r/8clearly, Tr+1 will be an integer, ifr/8 is an integer such that 0≤r≤1024⇒  r is a multiple of 8 lying satisfying 0≤r≤1024⇒ r=0 ,8 ,16 ,…,1024⇒  r can assume 129 values Hence, there are 129  integral terms in the expansions of  (51/2+71/81024