Sequences and Series
Insert 18 arithmetic means between −35x and 3x.
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Find the sum to infinity of the following Geometric Progression: 5,720 , 4980 ,…
Write the first five terms of the sequence whose nthterms are : an=n+1n
Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+1)thto (2n)thterm is rn1
In a flower bed, there are 23 rose plants in the first row, 21 in the second, 19 in the third, and so on. There are 5 rose plants in the last row. How many rows are there in the flower bed?
The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.
If A and G be A.M. and GM., respectively between two positive numbers, prove that the numbers are A±(A+G)(A−G).
If a, b, c, d are in G.P., prove that (an+bn),(bn+cn),(cn+an)are in G.P.