Arithmetic mean

Q.

Command To Average All Numeric Field In A DBF Is

Q. In an A.P., there are 51 terms. The sum of 7th term and 45th term is 240. The 26th term of the A.P. will be .

1. 120
2. 240
3. 160
4. 80

Q. If θ1, θ2, θ3........, θn are in A.P., whose common difference is d, then,
sec θ1 sec θ2+sec θ2 sec θ3+..........+sec θn−1 sec θn=

1. $\frac{\tan {\theta }_n-\tan {\theta }_1}{\sin d}$
2. $\frac{\tan {\theta }_n-\tan {\theta }_1}{\cos d}$
3. $\frac{cot{\theta }_n-cot{\theta }_1}{\sin d}$
4. $\frac{\cot {\theta }_n-\cot {\theta }_1}{\cos d}$

Q. If a, b, c are in GP, then the equations $a{x}^2+2bx+c=0$ and $d{x}^2+2ex+f=0$ have a common root, if $\frac{d}{a},\frac{e}{b},\frac{f}{c}$ are in

1. AP
2. GP
3. HP
4. None of these

Q. In an A.P., the average of all the terms is the average of terms equidistant from the beginning and the end of the A.P..

1. False
2. True

Q. If A be an arithmetic mean between two numbers and S be the sum of n arithmetic means between the same numbers, then

1. S - nA
2. A = nS
3. A = S
4. None of these

Q. A number is the reciprocal of the other. If the arithmetic mean of the two numbers be $\frac{13}{12},$ then the numbers are

1. $\frac{1}{4},\frac{4}{1}$
2. $\frac{3}{4},\frac{4}{3}$
3. $\frac{2}{5},\frac{5}{2}$
4. $\frac{3}{2},\frac{2}{3}$

Q. Let a, b, c be positive integers such that $\frac{b}{a}$ is an integer. If a, b, c are in geometric progression and the arithmetic mean of a, b, c is b + 2, then the value of $\frac{a^2+a-14}{a+1}$ is___

Q.

The arithmetic mean of a and b is $\frac{a^n+b^n}{a^{n-1}+b^{n-1}}$. The value of n is

1. 0
2. 1
3. -1
4. a

Q. If $A_1,A_2$ be two arithmetic means between $\frac{1}{3}$ and $\frac{1}{24},$ then their values are

1. $\frac{7}{72},\frac{5}{36}$
2. $\frac{17}{72},\frac{5}{36}$
3. $\frac{7}{36},\frac{5}{72}$
4. $\frac{5}{72},\frac{17}{72}$