Question

k, k+1, K+2 ............ , k+99 is a sequence of consecutive integers.

a) write down the number of the terms in this sequence.

b) use the first term and the last term to find an expression for the mean in term of k.

c) use your answer to part(a) and part (b) to write down an expression for the sum of all terms of the sequence.

Answer 1

Answer:

(a) n=100

(b)a1= k and a100 = k+99

therefore 2k+99/2 is mean

(c) sn=n/2 (2a + (n-1)d)