Answer:

Answer

Mean of n terms = x Sum of n terms =n xSum of (n−1) terms =k

n the term = Sum of n terms − Sum of (n−1) terms =n x −k

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nth term of the series is given by (nx - k)

Let suppose we have a series

a1, a2, a3,

arithmetic mean = a1, a2, a3, . . . . . . .,an /n

we can write,

x = a1, a2, a3, . . . . . . .,an/n n

now, the sum of the first (n-1) terms is k

we can write,

k + an = nx

an = nx -k