(Solved): 1. Identify the either the following sequence is an arithmetic progression or not. Then state the c ...

1. Identify the either the following sequence is an arithmetic progression or not. Then state the common difference of the sequence. (a) $1,4,7,10,13\dots$ (b) $\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\frac{5}{3}\dots$ (c) $1,4,9,16,25,36,\dots$ 2. Identify if each of the following series is arithmetic, geometrical or $p$-series. After that, determine whether the sequence is convergent or divergent by stating its common difference/common ratio. (a) $3,6,12,24,48\dots$ (b) $0.1,0.4,0.7,1.0,1.3,\dots$