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Question Number 145474 by Ppmaurya last updated on 05/Jul/21

R C Classes M.M.−30 10th−Maths Test Time Duration:40min. If the given expression is an AP then write the common difference and write three more terms Q.1) 3, 3+(√(2,)) 3+2(√2), 3+3(√2)........ Q.2) (√2), (√8) ,(√(18)),(√(32)),...... Q.3) Derive the formula a_n = a+(n−1)d Q.4) Check whether 301 is a term of the list of numbers 5, 11, 17, 23,......... Q.5) a=−18.9, d= 2.5, a_n = 3.6 find a Q.6) In the following AP, find the missing terms in the boxes.

$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{R}\:\mathrm{C}\:\mathrm{Classes}\: \\ $$$$\:\:\mathrm{M}.\mathrm{M}.−\mathrm{30}\:\:\:\:\mathrm{10th}−\mathrm{Maths}\:\mathrm{Test}\:\:\:\mathrm{Time}\:\mathrm{Duration}:\mathrm{40min}. \\ $$$$\:\:\mathrm{If}\:\:\mathrm{the}\:\:\mathrm{given}\:\mathrm{expression}\:\mathrm{is}\:\mathrm{an}\:\mathrm{AP}\:\mathrm{then} \\ $$$$\:\mathrm{write}\:\mathrm{the}\:\mathrm{common}\:\mathrm{difference}\:\mathrm{and}\:\mathrm{write}\:\:\:\mathrm{three}\:\mathrm{more}\:\mathrm{terms} \\ $$$$\left.\:\:\:\mathrm{Q}.\mathrm{1}\right)\:\:\mathrm{3},\:\mathrm{3}+\sqrt{\mathrm{2},}\:\mathrm{3}+\mathrm{2}\sqrt{\mathrm{2}},\:\mathrm{3}+\mathrm{3}\sqrt{\mathrm{2}}........ \\ $$$$\: \\ $$$$\left.\:\:\mathrm{Q}.\mathrm{2}\right)\:\:\sqrt{\mathrm{2}},\:\sqrt{\mathrm{8}}\:,\sqrt{\mathrm{18}},\sqrt{\mathrm{32}},...... \\ $$$$\left.\:\:\mathrm{Q}.\mathrm{3}\right)\:\:\mathrm{Derive}\:\mathrm{the}\:\mathrm{formula}\:\:\mathrm{a}_{\mathrm{n}} =\:\mathrm{a}+\left(\mathrm{n}−\mathrm{1}\right)\mathrm{d} \\ $$$$\left.\:\:\mathrm{Q}.\mathrm{4}\right)\:\:\mathrm{Check}\:\mathrm{whether}\:\mathrm{301}\:\mathrm{is}\:\mathrm{a}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{list}\:\mathrm{of}\:\mathrm{numbers} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5},\:\mathrm{11},\:\mathrm{17},\:\mathrm{23},......... \\ $$$$\left.\:\:\mathrm{Q}.\mathrm{5}\right)\:\:\mathrm{a}=−\mathrm{18}.\mathrm{9},\:\:\mathrm{d}=\:\mathrm{2}.\mathrm{5},\:\mathrm{a}_{\mathrm{n}} =\:\mathrm{3}.\mathrm{6}\:\:\mathrm{find}\:\boldsymbol{\mathrm{a}} \\ $$$$\left.\:\:\boldsymbol{\mathrm{Q}}.\mathrm{6}\right)\:\:\mathrm{In}\:\mathrm{the}\:\mathrm{following}\:\mathrm{AP},\:\mathrm{find}\:\mathrm{the}\:\mathrm{missing}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the}\:\mathrm{boxes}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$

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