Question

give me tge toughest hots qn in A.P class 10

Answer 1

                   

$\sf{Here are three questions made by me. Hope you can answer all these.}$

$\sf{First question. \\ \\ \\ Find the value of} \ x. \\ \\ 5^1 \times 5^4 \times 5^7 \times 5^{10} \times......\times 5x=(0.2)^{-117}$

$\sf{Second question. \\ \\ \\ Consider the AP} \ \sqrt{-2},\ \sqrt{-8},\ \sqrt{-18},...... \\ \\ \sf{(a) Find the common difference. \\ \\ (b) Write the algebraic expression of this sequence. \\ \\ (c)\ Check whether} \ \sqrt{-25088}\ \sf{is a term of this sequence. Find its position number if yes.}$

$\sf{Third question. \\ \\ \\ The difference of sums of first 21 terms and next 21 terms of an AP of first term 3 is 1764. Then find the sum of 64^{th}}\ \sf{term to 84^{th}}\ \sf{term}. \\ \\ [ \sf{Not 64^{th}}\ \sf{term and 84^{th}}\ \sf{term only.}]$

$\sf{Thank you. Have a nice day. :-)}$