let a1,a2,…an be in A.P. wth common difference 6π. if seca1seca2+seca2seca3+….secan−1secan=k(tanan−tana1)Find the value of k

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let {a}_{{1}},{a}_{{2}},{a}_{{n}} be in A.P. wth common differ

Question

let $a_{1}, a_{2}, \dots a_{n}$ be in A.P. wth common difference $\frac{π}{6}$ . if $sec a_{1} sec a_{2} + sec a_{2} sec a_{3} + \dots . sec a_{n - 1} sec a_{n}$ = $k (tan a_{n} - tan a_{1})$ Find the value of k

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let

a_{1}, a_{2}, \dots a_{n}

be in A.P. wth common difference

\frac{π}{6}

. if

sec a_{1} sec a_{2} + sec a_{2} sec a_{3} + \dots . sec a_{n - 1} sec a_{n}

k (tan a_{n} - tan a_{1})

Find the value of k

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Question Text

let

a_{1}, a_{2}, \dots a_{n}

be in A.P. wth common difference

\frac{π}{6}

. if

sec a_{1} sec a_{2} + sec a_{2} sec a_{3} + \dots . sec a_{n - 1} sec a_{n}

k (tan a_{n} - tan a_{1})

Find the value of k