Test Details

Arithmetic Progression

Jan 26, 10:00 AM

60 minutes

Jan 26, 11:00 AM

60.0 marks

MCQ

30 questions

Arvind singh chauhan

“I am a positive person who has an enthusiastic outlook on life. I love my job and I get a great sense of achievement from seeing my students develop and grow as individuals. If I can have a positive impact on their future, I feel I am doing my job well.

Class Details

maths

class 10th

maths

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Question Text

Question 1 :
Which term of the AP : 121, 117, 113, . . ., is its first negative term?

Question 2 :
Find the sum of the first 40 positive integers divisible by 6.

Question 3 :
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, what is the sum of the AP?

Question 4 :
In an AP, given $a_3 = 15, S_{10} = 125$, find d and $a_{10}$.

Question 5 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the nth term ?

Question 6 :
Find the number of terms in the following AP :18, 15.5, 13, . . . , – 47

Question 7 :
Find the sum of the following AP: 2, 7, 12, . . ., to 10 terms.

Question 8 :
If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum offirst n terms.

Question 9 :
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc4273b230584979a10.JPG' /> In the above fig, find the missing value corresponding to (i)

Question 11 :
Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

Question 12 :
Find the sum of the first 15 terms in $a_n = 9 – 5n$

Question 13 :
In an AP, given $d = 5, S_9 = 75$, find a and $a_9$.

Question 14 :
30th term of the AP: 10, 7, 4, . . . , is

Question 15 :
Find the sum of the following AP: 0.6, 1.7, 2.8, . . ., to 100 terms.

Question 16 :
Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?

Question 17 :
Find the sum of the following AP: $\frac{1}{15}, \frac{1}{12}, \frac{1}{10}, . .$ , to 11 terms

Question 18 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc7273b230584979a14.JPG' /> In the above fig. 200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed and how many logs are in the top row?

Question 19 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 2nd term ?

Question 20 :
In an AP, given l = 28, S = 144, and there are total 9 terms. Find a.

Question 21 :
For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

Question 22 :
Find the 20th term from the last term of the AP : 3, 8, 13, . . ., 253.

Question 23 :
Find the sum of the following AP: –37, –33, –29, . . ., to 12 terms.

Question 24 :
In an AP, given $a = 3, n = 8, S = 192$, find d.

Question 25 :
In an AP, given $a = 8, a_n = 62, S_n = 210$, find n and $d$.

Question 26 :
If the sum of the first n terms of an AP is $4n – n^2$, What is the 10th term ?

Question 27 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bc3273b230584979a0e.JPG' /> In the above fig, find the missing value corresponding to (iii)

Question 28 :
In an AP, given $a = 2, d = 8, S_n = 90$, find n and $a_n$.

Question 29 :
Find the sum of the odd numbers between 0 and 50.

Question 30 :
Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

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