Find the $10^{th}$ term of the $AP : 2, 7, 12, \ldots$

  • A
    $47$
  • B
    $53$
  • C
    $39$
  • D
    $43$

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$0, -4, -8, -12, \ldots$ are $APs$? If they form an $AP$,find the common difference $d$ and write three more terms.

Are $-\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, \ldots$ in an $AP$? If they form an $AP$,find the common difference $d$ and write three more terms.

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Which term of the $AP: 3, 15, 27, 39, \ldots$ will be $132$ more than its $54^{th}$ term?

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Fill in the blanks in the following table,given that $a$ is the first term,$d$ is the common difference,and $a_{n}$ is the $n^{th}$ term of the $AP$:
$S.No.$$a$$d$$n$$a_{n}$
$(i)$$7$$3$$8$$...$
$(ii)$$-18$$...$$10$$0$
$(iii)$$...$$-3$$18$$-5$
$(iv)$$-18.9$$2.5$$...$$3.6$
$(v)$$3.5$$0$$105$$...$

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In an $AP$ given $a=3, n=8, S_n=192,$ find $d$.

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