Q63.Let s1, s2, s3. . . . , s10 respectively be the sum of 12 terms of 10 A. Ps whose first terms are 1, 2, 3, . . . . , 10 and the common differences are 1, 3, 5, . . . , 19 respectively. Then ∑10i=1 si is equal to (1) 7220 (2) 7360 (3) 7260 (4) 7380
What This Question Tests
This question involves calculating the sum of 10 different arithmetic progressions and then summing these individual sums, testing the application of the sum formula for an AP and basic summation properties.
Concepts Tested
Formulas Used
Sn = n/2 [2a + (n-1)d]
Σn = n(n+1)/2
Σn² = n(n+1)(2n+1)/6
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progressions (AP)
- Year
- 2023
- Shift
- 13 Apr Shift 1
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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