| 2022-11-19 | The number of terms in an A.P. is even, the sum of odd terms is 24 and the sum of even terms is ... |
| 2022-11-19 | If \( S_{n} \) denotes the sum of first \( n \) terms of an A.P. and \( S_{2 n}=3 S_{n^{\prime}}... |
| 2022-11-19 | If \( S_{n} \) denotes the sum of first \( n \) terms of an A.P., then show that common differen... |
| 2022-11-19 | If \( p \) th and \( q \) th terms of an A.P. are \( \frac{1}{q r} \) and \( \frac{1}{p r} \) re... |
| 2022-11-19 | Sum to infinity the following series: \[ 3+5 \cdot \frac{1}{4}+7 \cdot \frac{1}{4^{2}}+\ldots \] |
| 2022-11-19 | How many terms of the sequence \( -12,-9,-6,-3, \ldots \), must be taken to make the sum 54 ? |
| 2022-11-19 | Assertion (A): The examples of primary consumers are herbivores.
Reason (R): Green plants make u... |
| 2022-11-19 | For the A.P. \( a_{1}, a_{2}, \ldots, a_{n^{\prime}} \) if \( \frac{a_{4}}{a_{7}}=\frac{2}{3} \)... |
| 2022-11-19 | In an A.P., if the third term is \( p \) and fourth term is \( q \), find the 10 th and \( n \)t... |
| 2022-11-19 | If 10 th term of an A.P. is 52 and its 16 th term is 82 , find the 32 nd term. |
| 2022-11-19 | Show that the number \( 1111 \ldots 11 \) having 65 digits is not a prime. |
| 2022-11-19 | זटफ्पणा लाखए- प्रालि-मापण, |
| 2022-11-19 | An A.P. consists of 12 terms whose sum is 354 . The ratio of the sum of the even terms to the su... |
| 2022-11-19 | Certain numbers appear in both the sequences \( 17,21,25,29, \ldots \) and \( 16,21,26,31, \ldot... |
| 2022-11-19 | If \( a, b, c \) are in G.P., then prove that
\[
a^{2} b^{2} c^{2}\left[\frac{1}{a^{3}}+\frac{1}... |
| 2022-11-19 | If \( a, b, c \) are in G.P., then prove that
\[
\frac{a^{2}+a b+b^{2}}{b c+c a+a b}=\frac{b+a}{... |
| 2022-11-19 | Assertion (A): The amount and seasonal distribution of rainfall play a very important role for t... |
| 2022-11-19 | If \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \) are in A.P. and \( a_{i}0 \) for all \( i \), then s... |
| 2022-11-19 | If the sum to infinity of the series \( 3+5 r+7 r^{2}+\ldots \) is \( 4 \frac{8}{9} \), find \( ... |
| 2022-11-19 | Sum to \( n \) terms the following series: \[ 1-\frac{2}{3}+\frac{3}{9}-\frac{4}{27}+\ldots \] |
| 2022-11-19 | Sum to infinity the following series: \[ 1+4 x^{2}+7 x^{4}+10 x^{6}+\ldots,|x|1 . \] |
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