Question Number 10154 by Tawakalitu ayo mi last updated on 27/Jan/17

The sum of the first term of sequence is   given by  S_n  = 5n^2  − 2n. A sequence    U_1 , U_2 , U_3  .... is defined by U_t  = S_t  − S_(t − 1) .  Express U_t  in terms of it simplest form. and  show that sequences is linear (AP).  (a) Find the sum S_n  of the n terms of the   sequence r^(th )  term is 4 × 2^(−1)   (b) The value of n for which the difference  between S_n  and less than 10^(−4)