The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 3n - 1$. Then,the common difference of the $A.P.$ is ...........

  • A
    $-2$
  • B
    $3$
  • C
    $5$
  • D
    $2$

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The sums of $n$ terms,$2n$ terms,and $3n$ terms of an $A.P.$ are $S_1, S_2,$ and $S_3$ respectively. Prove that $S_3 = 3(S_2 - S_1)$.

The $A.P.$ with $a = -3$ and $d = -2$ is..........

Is $0$ a term of the $AP : 31, 28, 25, \ldots ?$ Justify your answer.

Write the first three terms of the $APs$ when $a$ and $d$ are as given below:
$a = -5, d = -3$

Which term of the $A.P.$ $20, 19 \frac{1}{4}, 18 \frac{1}{2}, 17 \frac{3}{4}, \ldots$ is its first negative term (in $^{th}$)?

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