Sequences and Series
If 4AM′s are inserted between 1/2 and 3 then 3rd AM is
The sum of some terms of G. P. is 315 whose first term and the common ratio are 5 and 2, respectively. Find the last term and the number of terms.
The sums of n terms of two arithmetic progressions are in the ratio 5n+4:9n+6. Find the ratio of their 18thterms.
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
If A.M. and GM. of roots of a quadratic equation are 8 and 5, respectively, then obtain the quadratic equation.
Write the first five terms of the sequence and obtain the corresponding series : a1=3,an=3an−1+2for all n>1