Class 11

Math

Algebra

Sequences and Series

What is the minimum value of $cos_{2}a_{2} +sin_{2}xb_{2} $ where $a >0$ and $b>0$ ?

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Which term of the AP : 121, 117, 113, . . ., is its first negative term?[Hint : Find n for $a_{n}<0$]

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?

Find the sum of odd integers from 1 to 2001.

If a, b, c are in A.P., b, c, d are in G.P. and $c1 ,d1 ,e1 $are in A.P. prove that a, c, e are in G.P.

In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.

Find the sum of the odd numbers between 0 and 50.

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.

For what value of x, the number $−72 ,x,−72 $are in G.P.?