Sequences and Series
If the product of two positive numbers is 256 then the least value of their sum is
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How many three–digit numbers are divisible by 7?
Find the sum to n terms of the series : 3xx8+6xx11+9xx14+........
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.
Which term of the AP : 121, 117, 113, . . ., is its first negative term?[Hint : Find n for an<0]
Find the sum to infinity of the following Geometric Progression:6,1.2,0.24,…
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
If S1,S2,S3are the sum of first n natural numbers, their squares and their cubes, respectively, show that 9S22=S3(1+8S1).
200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on (see Figure). In how may rows are the 200 logs placed and how many logs are in the top row?