Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Solved Assignments
Asked Questions
Answered Questions
find the sum of all natural no between 101 amp 304 which are divisible by 3 or 5find their sumans no let 101 and 304 which are divisible
augmented matrixpreviously we saw that there were some special cases in the solution to systems of two equations we illustrated that there didnt need
find the common difference of an ap whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 termsans a
find the middle term of the ap 1 8 15505ans middle termsa n-1d 505a n-17 505n - 1 5047n 73there4 37th term is middle terma37 a
if 1x2 1x3 1x5 are in ap find xans 1x21x3 1x5 are in ap find x1x3 - 1x2 1x5-1x3gt 1x2 5x6 2 x2 8x 15gt on solving we get x
if the pth term of an ap is q and the qth term is p pt its nth term is pq-nans apqap qaq pan a p-1 d qa q-1 d pdp - q q - p
write the next two terms radic12 radic27 radic48 radic75ans next two terms radic108 radic147 ap is 2 radic3 3 radic3 4 radic3 5
find the sum of ab a-b a-3b to 22 termsans a b a - b a - 3b up to 22 terms d a - b - a - b 2bs22 222 2ab21-2b112a 2b - 42b 22a - 440b
if the following terms form a ap find the common difference amp write the next3 terms3 3 radic2 32radic2 33radic2ans d radic2 next three
find the sum of 1 - 1n 1 - 2n 1 - 3n upto n termsans 1 - 1n 1 - 2n - upto n terms rarr11n terms - 1n 2n n termsn -sn
balls are arranged in rows to form an equilateral triangle the first row consists of one ball the second two balls and so on if 669 more
if the roots of the equation b-cx2 c-ax a-b 0 are equal show that a b c are in apans refer sum no12 of qeif b-cx2 c-ax a-bx have equal
prove that am n am - n 2amans a m n a1 m n - 1 da m-n a1 m - n -1 dam a1 m-1 dadd 1 amp 2a mn a m-n a1mn-1 d
raghav buys a shop for rs120000he pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of rs5000 each
linear systems with three variablesit is going to be a fairly short section in the sense that its actually only going to contain a couple of examples
find the value of x if 2x 1 x2 x 1 3x2 - 3x 3 are consecutive terms of an apans a2 -a1 a3 -a2rarr x2 x 1-2x - 1 3x2 - 3x 3-
find the sum of all 3 digit numbers which leave remainder 3 when divided by 5ans 103 108998 a n-1d998rarr103 n-15998rarrn180s180
there is a third method that well be looking at to solve systems of two equations but its a little more complicated and is probably more useful for
a man arranges to pay a debt of rs3600 in 40 monthly instalments which are in a ap when 30 instalments are paid he dies leaving one third of the debt
find the sum of first 40 positive integers divisible by 6 also find the sum of first 20 positive integers divisible by 5 or
now lets move into the next technique for solving systems of equations as we illustrated in the example the method of substitution will
example solve following systemsa 3x - y 7 2x 3 y 1solutionthus it
if the pth qth amp rth term of an ap is x y and z respectively show that xq-r yr-p zp-q 0ans pth term rarr x a p-1 dqth term rarr y
methods for solving systemswe will be looking at two methods for solving systems in this sectionmethod of substitutionthe first method is known as
find the 20th term from the end of the ap 3 8 13253ans 3 8 13 253last term 253 a20 from end l - n-1d253 - 20-1 5253 - 95