Q83.The series of positive multiples of 3 is divided into sets : {3}, {6, 9, 12}, {15, 18, 21, 24, 27}, … Then the sum of the elements in the 11th set is equal to _______.
What This Question Tests
This question involves identifying the pattern of elements and number of elements in each set of an arithmetic progression and then calculating the sum of elements in a specific set.
Concepts Tested
Formulas Used
nᵗʰ term of AP: a + (n-1)d
Sum of n terms of AP: Sₙ = n/2 * (2a + (n-1)d)
Number of elements in the k-th set = 2k-1
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progressions
- Year
- 2022
- Shift
- 26 Jul Shift 1
- Q Number
- Q83
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences and Series
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