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Sequences and Series question

2024 · 5 Apr · Shift 1 · Q57

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JEE Main
Mathematics
Sequences and Series
2024 · 5 Apr · Shift 1 · Q57

Sequences and Series question

2024 · 5 Apr · Shift 1 · Q57

JEE MainMathematicsSequences and SeriesNumerical+4 / −1

Let

a_1, a_2, a_3, \ldots

be in an arithmetic progression of positive terms. Let

A_k=a_1^2-a_2^2+a_3^2-a_4^2+\ldots+a_{2 k-1}^2-a_{2 k}^2

. If

\mathrm{A}_3=-153, \mathrm{~A}_5=-435

and

\mathrm{a}_1^2+\mathrm{a}_2^2+\mathrm{a}_3^2=66

, then

\mathrm{a}_{17}-\mathrm{A}_7

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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