Sequences and Series
Find the sum to n terms of the series 1+12+141+1+22+242+1+32+343+………. that means tr=r4+r2+1r find 1∑n
If p, q, r are in G.P. and the equations, px2+2qx+r=0and dx2+2ex+f=0have a common root, then show that pd,qe,rfare in A.P.
A man deposited Rs 10000 in a bank at the rate of 5% simple interest annually. Find the amount in 15thyear since he deposited the amount and also calculate the total amount after 20 years.
A manufacturer of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find :(i) the production in the 1st year(ii) the production in the 10th year(iii) the total production in first 7 years