Let . be in an arithmetic progression of positive terms. n Let . If and , then is equal to...

is an A.P. Let be the common difference So, (i) Similarly =-435 d (ii) Solving (i) and (ii) we get [ ∵ Given A.P. is&...

Let a_{1},a_{2},a_{3},. be in an arithmetic progression of positive terms. Let A_{k} = a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - a_{4}^{2} + .. + a_{2k - 1}^{2} - a_{2k}^{2}. If A_{3} = - 153,A_{5} = - 435 and a_{1}^{2} + a_{2}^{2} + a_{3}^{2} = 66, then a_{17} - A_{7} is equal to : Sequence & Series (Mathematics)

Let

a_{1},a_{2},a_{3},\ldots

. be in an arithmetic progression of positive terms. n Let

A_{k} = a_{1}^{2} - a_{2}^{2} + a_{3}^{2} - a_{4}^{2} + \ldots.. + a_{2k - 1}^{2} - a_{2k}^{2}

. If

A_{3} = - 153,A_{5} = - 435

and

a_{1}^{2} + a_{2}^{2} + a_{3}^{2} = 66

, then

a_{17} - A_{7}

is equal to