Arithmetic Progressions — Question Ex 5.3 Q20
Back to all questionsIn a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line
A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and she continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run?
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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