T_(k) = K ^(3) + 3 ^(k) , তারপর যোগফল_(k =1) ^( n ) T _(k) খুঁজুন। | 12 | ক্রম & সিরিজ | গণিত...

sum_(k=1)^n k^3=

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

k x + 3y = k - 3, 12 x + ky = k

lim_ (n rarr oo) sum_ (k = 1) ^ (n) (lambda k ^ (4) + 2k ^ (3) + k ^ (2) + k + 1) / (3n ^ (5) + n ^ (2) + n + 5k) = (1) / (3)

a_(k)=(1)/(k(k+1)) for k=1,2,3,4,...n then (sum_(k=1)^(n)a_(k))^(2)=

lim_ (n rarr oo) (1 ^ (k) + 2 ^ (k) + ... + n ^ (k)) / (k * n ^ (k + 1)), (n in N, k in I ^ (+))

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

If (k-1),(2k+1),(6k+3) are in GP then k=?

Six moles of an ideal gas performs a cycle shown in figure. If the temperature are T_(A) = 600 K , T_(B) = 800 K , T_(C) = 2200 K and T_(D) = 1200 K , the work done per cycle is