Sequences and Series
A.M. of a−2, a, a+2 is ____.
The sum of three numbers in GP. Is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.
Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.
The harmonic mean between two numbers is 21/5, their A.M. ′A′ and G.M. ′G′ satisfy the relation 3A+G2=36. Then find the sum of square of numbers.
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 a,b,andc be in G.P. and a+x,b+x,andc+x in H.P. then find the value of x(a,bandcaredist∈ctνmbers) .