Q82.Let a1, a2, a3, … be in an arithmetic progression of positive terms. Let Ak = a21 −a22 + a23 −a24 + … + a22k−1 −a22k . If A3 = −153, A5 = −435 and a21 + a22 + a23 = 66 , then a17 −A7 is equal to______ is p , then 108p is equal to
What This Question Tests
This question involves a complex arithmetic progression problem where a new sequence A_k is defined based on squares of AP terms, requiring careful algebraic manipulation to solve for the common difference and first term.
Concepts Tested
Formulas Used
an = a1 + (n-1)d
a^2 - b^2 = (a-b)(a+b)
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Sequences & Series
- Topic
- Arithmetic Progression (AP)
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 9: Sequences & Series
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