An arithmetic series consists of five terms; the second term is 7 and the last term is 22. write out the full series.

Answer 1

T5 = T2 + 3d, so d = (22-7)/3 = 5

The sequence is

2 7 12 27 22

Technically, the above is an arithmetic sequence. If you truly wanted an arithmetic series, then you'd have to use the sums

S2 = 2/2(2a+d) = 7
S5 = 5/2(2a+4d) = 22

a = 16/5 and d = 3/5 The sequence is

16/5 19/5 22/5 5 28/5

and the series (the sequence of partial sums) is

16/5 7 57/5 82/5 22