Arithmetic Progressions · Class 10 Mathematics · Chapter 5
📐 Arithmetic Progressions
CBSE Class 10 · Mathematics · Chapter 5
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Download PDF →Top PYQ patterns · CBSE aggregate
| 90% | Find Sₙ of a given AP (direct or 'sum of multiples of k') — Find a, d, and n (via the last term). Pick the correct Sₙ formula. Simplify the bracket fully before multiplying. | 3 MARKS |
| 80% | Which term equals X / is X a term of the AP — Set aₙ = X, solve for n using a + (n−1)d. Validate n is a positive integer; else 'not a term'. | 2 MARKS |
| 70% | Find a and d (or a missing term) from two conditions — Write two equations from the two given terms/sums; solve the simultaneous pair for a and d. | 3 MARKS |
| 65% | Word/case-study: savings, salary, seats, logs, installments forming an AP — Translate the story into a, d, n; identify whether an or Sₙ is asked; answer in the question's units. | 4 MARKS |
| 55% | Find the middle term / first negative term of an AP — Middle term: locate term number (n+1)/2 (odd count). First negative: solve a + (n−1)d < 0 for smallest integer n. | 3 MARKS |
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