Sequences and Series
Write the quadratic equation, the arithmetic and geometric means of whose roots are A and G respectively.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If a, b, c, d and p are different real numbers such that (a2+b2+c2)p2−2(ab+bc+cd)p+(b2+c2+d2)≤0, then show that a, b, c and d are in G.P.
The sum of n
terms of two arithmetic progressions are in the ratio (3n+8):(7n+15)˙
Find the ratio of their 12th terms.
Find the 11thfrom the last term (towards the first term) of the AP : 10, 7, 4, ˙ ˙ ˙, 62.
If the pth,qthand rthterms of a GP are a, b and c, respectively. Prove that aq−rbr−pcp−q=1.
Find the 31st term of an AP whose 11thterm is 38 and the 16thterm is 73.
Find the sum of first n
terms of the following series:5+11+19+29+41+˙
If A.M. and GM. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.
Find the sum of first 22 terms of an AP in which d=l and 22nd term is 149.