Test Details

Arithmetic Progressions

Test

Feb 03, 5:55 PM

30 minutes

Feb 03, 6:30 PM

30.0 marks

MCQ

30 questions

sudhir kumar

PGT

Class Details

S. St.

Maths

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Question Text

Question 1 :
In the word 'Albuquerque' if we assign a number to the letters, equal to the number of times the letter is used in the word. The sum of the number would be -

Question 2 :
Find out whether the sequence $1^2, 3^2, 5^2, 7^2$,... is an AP. If it is, find out the common difference.

Question 4 :
Find the function for the arithmetic sequence $11, 22, 33, 44...$.

Question 5 :
A sequence in which the difference between any two consecutive terms is a constant is called as

Question 6 :
Find the value of x such that $25 + 22 + 19 + 16 + ... + x = 112$

Question 8 :
For an A.P. $a = 7, d = 3, n = 8$, find $a_8$.

Question 10 :
If $8^{th}$ term of an A.P is $15$, then the sum of $15$ terms is

Question 11 :
Between $1$ and $31$, $m$ numbers has been inserted in such a way that the resulting sequence is an A.P. and the ratio of $7^{th}$ and $(m-1)^{th}$ number is $5:9$ Find the value of $m$.

Question 12 :
Show that the sequence defined by $a_n = 5n -7$ is an AP. Also, find its common difference.

Question 13 :
A sequence in which the difference between any two consecutive terms is a constant is called as

Question 14 :
What is the function for the arithmetic sequence $1, 3, 5, 7, 9, 11...?$

Question 15 :
Find the missing number in the arithmetic mean between $11$ and $100$.

Question 16 :
The first term of an A.P is $5$ and its $100$th term is $-292$, then $50$th term is

Question 18 :
If $p, q$ and $r$ are in A. P. then which of the following statements is correct?

Question 19 :
The first, second and middle terms of an A.P. are a, b, c, respectively. Their sum is?

Question 20 :
Find the number of terms in an A.P. : -1, -5, -9 .......... - 197

Question 21 :
Which term of the AP : 3, 8, 13, 18,........, is 78 ?

Question 22 :
If a, b, c and d are in harmonic progression, then $\displaystyle\frac{1}{a}$,$\displaystyle\frac{1}{b}$,$\displaystyle\frac{1}{c}$ and$\displaystyle\frac{1}{d}$, are in ______ progression.

Question 23 :
What is the number of terms in the series $117, 120, 123, 126,.., 333$ ?

Question 26 :
Check whether the following form an AP$\sqrt{3} , \sqrt{12} , \sqrt{27} , \sqrt{48}$ , ...

Question 27 :
Four consecutive terms of aprogression are 38, 30, 24, 20. The next term of the progression is

Question 28 :
If k + 2, k, 3k - 2 are three consecutive terms of A.P., then k = .................

Question 29 :
A sequence $a_1, a_2, a_3 ....... a_n$ is an A.P. if and only if for any three consecutive terms $a_{k - 1}, a_k, a_{k + 1}$ the middle term is equal to the half-sum of its neighbors. $a_k = .................$

Question 30 :
Is it an AP? $1, 4, 7, 10, 13, 16, 19, 22, 25, ...$

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