Find the $11^{th}$ term from the last term (towards the first term) of the $AP : 10, 7, 4, \ldots, -62$.

  • A
    $35$
  • B
    $-32$
  • C
    $-22$
  • D
    $20$

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$A$ contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: ₹ $200$ for the first day,₹ $250$ for the second day,₹ $300$ for the third day,etc. The penalty for each succeeding day is ₹ $50$ more than for the preceding day. How much money does the contractor have to pay as a penalty if he has delayed the work by $30$ days?

Difficult
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Find the sum of:
$(i)$ the first $1000$ positive integers
$(ii)$ the first $n$ positive integers

Find the sum given below: $7 + 10 \frac{1}{2} + 14 + \ldots + 84$

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How many terms of the $AP: 24, 21, 18, \ldots$ must be taken so that their sum is $78$?

Determine the $AP$ whose $3^{rd}$ term is $5$ and the $7^{th}$ term is $9$.

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