The sums of $n$ terms of three $A.P.'s$ whose first term is $1$ and common differences are $1, 2, 3$ are ${S_1},\;{S_2},\;{S_3}$ respectively. The true relation is
The sums of $n$ terms of three $A.P.'s$ whose first term is $1$ and common differences are $1, 2, 3$ are ${S_1},\;{S_2},\;{S_3}$ respectively. The true relation is
- A
${S_1} + {S_3} = {S_2}$
- B
${S_1} + {S_3} = 2{S_2}$
- C
${S_1} + {S_2} = 2{S_3}$
- D
${S_1} + {S_2} = {S_3}$
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