Arithmetic Progressions — Question Ex 5.3 Q15
Back to all questionsA contract on 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 being ₹ 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days?
CBSE Class 10 Arithmetic Progressions — Complete Guide
AP is a high-scoring chapter carrying 5-6 marks. The nth term and sum formulae appear in every board exam.
Quick Revision: Key Concepts
- AP: a, a+d, a+2d, ... (constant common difference)
- nth term: an = a + (n−1)d
- Sum: Sn = n/2[2a + (n−1)d] = n/2(a + l)
- Key relation: an = Sn − Sn−1
Most Important Questions
- Find specific terms (nth term, last term)
- Find sum of first n terms
- Find number of terms when sum is given
- Application problems (salary, savings, stacking)
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