[" Question: "34],[hline" The sum of the series "1+(k)/(3)+(k(k+1))/(3.6)+(k(k+1)(k+2))/(3.6.9)+...],[" is "]

Find the sum of the series sum_(k=1)^(360)((1)/(k sqrt(k+1)+(k+1)sqrt(k)))

Find the sum of the series sum_(k=1)^(360)(1/(ksqrt(k+1)+(k+1)sqrt(k)))

Find the sum of the series sum_(k=1)^(360)(1/(ksqrt(k+1)+(k+1)sqrt(k)))

Evaluate the sum , sum_(k=1)^(n)(1)/(k(k+1)(k+2)……..(k+r)) .

[(k (k + 1)) / (2)] ^ (2) + (k + 1) ^ (3) = [((k + 1) (k + 2)) / (2) +1] ^ (2)

sum_ (k = 1) ^ (n) (2 ^ (k) + 3 ^ (k-1))

-1=(6k-3)/(k+1)

Compute the summation sum_(k=0)^(27)k([27k])((1)/(3))^(k)((2)/(3))^(27-k)

Interval of convergence of the power series sum_(k=1)^(oo)((x+2)^(k))/(k sqrt(k+1)) is

A special die is so constructed that the probabilities of throwing 1, 2, 3, 4, 5 and 6 are (1-k)/(6), (1+2k)/(6), (1-k)/(6), (1+k)/(6), (1-2k)/(6) and (1+k)/(6) , respectively. If two such dice are thrown and the probability of getting a sum equal to 9 lies between (1)/(9) and (2)/(9) , then the integral value of k is