Q66.The sum of the common terms of the following three arithmetic progressions. 3, 7, 11, 15, … … … … , 399 2, 5, 8, 11, . . . . . . . . . 359 and 2, 7, 12, 17, … … , 197 , is equal to _____ .
What This Question Tests
This problem requires finding the common terms of three arithmetic progressions by calculating the LCM of their common differences and then summing these common terms, which themselves form an AP.
Concepts Tested
Formulas Used
a_n = a + (n-1)d
S_n = n/2 (a + l)
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression
- Year
- 2023
- Shift
- 01 Feb Shift 2
- Q Number
- Q66
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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