Sequence and Series: JEE Main 2024 Mathematics question
JEE Main 2024 · 5 Apr, Morning shift · Q48
JEE Main 20245 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002
Let a1,a2,a3,… be in an arithmetic progression of positive terms.
Let Ak=a12−a22+a32−a42+…+a2k−12−a2k2.
If A3=−153,A5=−435 and a12+a22+a32=66, then a17−A7 is equal to ________.
Type your answer. Integers and decimals are accepted.