1.
If are in G.P. and and are in H.P., then is equal to
2.
If the number of terms in an AP is , then the ratio of the sum of the odd terms to the sum of even terms is
3.
If is positive and if and are the arithmetic mean and the geometric mean of the roots of respectively, then
4.
The sum of the series upto term is
5.
6.
The value of is
7.
If , then is equal to
8.
If the sides of sides of a right angled triangle are in AP, then the sides are proportional to
9.
The values of is
10.
Consider the following statement :
1. If a_{n} denotes the nth term of an AP, then a_{n}=\frac{a_{n+k}+a_{n-k}}{2}
2. In an AP, if the sum of m term is equal to the sum of n terms, then the sum of (m + n) term is always zero.
3. The sum to infinity of the series \frac{1}{3}+\frac{1}{15}+\frac{1}{35}+...is \frac{1}{2}.
Which of the statement is given above is/are correct?