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# Arithmetic Progressions

10th Class - CBSE - Mathematics - 4071 Questions - 0 Concepts

#### Important Questions

Q1 Subjective Medium
Complete the following activity to find the sum of natural number from $1$ to $140$ which are divisible by $4$
Sum of numbers from $1$ to $140$, which are divisible by $4= \Box$

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q2 Subjective Medium
$11, 8, 5, 2,...$ In this $A.P.$ which term is number $-151$?

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q3 Subjective Medium
Which of the following sequences are in arithmetic progression?
$1/2, 1/3, 1/4, 1/5, .$

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q4 Subjective Medium
Which of the following sequences are in arithmetic progression?
$5, 9, 12, 18, .$

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q5 Subjective Medium
Which of the following sequences are in arithmetic progression?
$15, 12, 9, 6, .$

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q6 Subjective Medium
If $m$ times the $m^{th}$ term of an A.P. is equal to $n$ times the $n^{th}$ term then show that the $(m + n)^{th}$ term of the A.P. is zero .

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q7 Subjective Medium
If the sum of first $p$ terms of an $A.P$ is equal to the sum of first $q$ terms then show that the sum of its first $(p+q)$ terms ia zero $(p\neq q)$.

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Q8 Subjective Hard
Find the sum to $n$ terms of the series: $\dfrac{{{1^3}}}{1} + \dfrac{{{1^3} + {2^2}}}{2} + \dfrac{{{1^3} + {2^3} + {3^3}}}{3} + .....$

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1 Verified Answer | Published on 05th 09, 2020

Q9 Subjective Hard
A meeting hall has 20 seats in the first raw, 24 seats in the second row,28 seats in the third row, and so on and has in all 30 rows. How many seats are there in the meeting hall ?

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1 Verified Answer | Published on 05th 09, 2020

Q10 Single Correct Hard
Evaluate $\sum_{r=1}^{n}\left [ \sum_{k=1}^{r}k \right ] \left [ \log_{1/2}\sqrt{(4x-x^{2})} \right ]^{r}$. Find $x$ for which summation is a finite number as $n\rightarrow \infty$
• A. $x\in \left ( 0,2-\displaystyle \frac{\sqrt{15}}{2} \right )$
• B. $x\in \left ( 0,-2+\displaystyle \frac{\sqrt{15}}{2} \right )$
• C. $x\in \left ( 0,-2-\displaystyle \frac{\sqrt{15}}{2} \right )$
• D. $x\in \left ( 0,2+\displaystyle \frac{\sqrt{15}}{2} \right )$

Asked in: Mathematics - Arithmetic Progressions

1 Verified Answer | Published on 05th 09, 2020

Questions 122475
Subjects 10
Chapters 93
Enrolled Students 65