25 2658 26105811 261014581114 Solution The nth term is g

2/5 + 2.6/5.8 + 2.6.10/5.8.11 + 2.6.10.14/5.8.11.14 + ... The nth term is given by Tn= (2 * (2+4) * (6+4) *... * (2+(n-1)*4) ) / {5 * 8 * .. * (5+(n-1)*3) } and Tn+1= (2 * (2+4) * (6+4) *... * (2+(n-1)*4) * (2 +(n)*4 ) ) / {5 * 8 * .. * (5+(n-1)*3) *(5+3n) } Tn+1 / Tn = (4n+1) /(5+3n) 4n+1 > 3n+5 for n>4 => The summation does not converge, because the terms are always increasing.