Test Details

Arithmetic Progressions

Feb 11, 3:30 PM

120 minutes

Feb 11, 5:30 PM

30.0 marks

MCQ

15 questions

Yateeshwar

I ever feel satisfied when i make u able to learn new things

Class Details

Maths and Science.

class 10

Maths and Science.

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Question Text

Question 1 :
Find the common difference, if $a_n = 20, a = 5$ and $n = 5$

Question 2 :
The sum of all odd integers between $2$ and $50$ divisible by $3$ is

Question 3 :
The real numbers $x_{1},x_{2},x_{3}$ satisfying the equation $(x^{3}-x^{2}+ \beta x+ \gamma) =0$ are in A.P. Find the intervals in which $\beta $ and $\gamma$ lie

Question 4 :
If $m$ times the $m^{th}$ term of an A.P. is equal to $n$ times its $n^{th}$ term, find the $(m + n)^{th}$ term of the A.P.

Question 5 :
The sum of fist four terms of an $A.P.$ is $56$ and sum of its last four terms is $112$. If its first term is $11$, then number of its terms is/are

Question 7 :
What is the next number in the sequence  $21, 34, 55, 89, 144?$

Question 8 :
If $log_3 2, log_3 (2^x- 5)$ and $log_3\left ( 2^x-\dfrac {7}{2} \right )$ are in A. P., then $x$ is equal to.

Question 9 :
If a body starts with a velocity $\displaystyle u $ in a straight line with uniform acceleration f and covers a distance s in time t seconds, and $\displaystyle s_{t}$ denotes the distance covered by it in the $t$  seconds, then $\displaystyle s_{2}, s_{4}, s_{6}$ are in  

Question 10 :
Calculate the sum of even numbers between $12$ and $90$ which are divisible by $8$.

Question 12 :
If 100 times the $100^{\mathrm{t}\mathrm{h}}$ term of an AP with non zero common difference equals the 50 times its $50^{\mathrm{t}\mathrm{h}}$ term, then the $150^{\mathrm{t}\mathrm{h}}$ term this AP is:<br>

Question 13 :
If $(1 + 3 + 5+...+p) + (1 + 3 + 5+...+q) =(1 + 3 + 5 + ... + r)$ where each set of parentheses contains the sum of consecutive odd integers as shown, the smallest possible value of $p + q + r$, (where $p > 6$) is

Question 15 :
The series of natural numbers is divided into groups $(1), (2,3,4), (3,4,5,6,7), (4,5,6,7,8,9,10), ...$ Find the sum of the numbers in nth group.

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