CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 6 - MCQExams.com

If $$a, b$$ and $$c$$ arc in arithmetic progression then $$\dfrac{b- a}{c - b}$$ is equal to
  • $$\dfrac{b}{a}$$
  • $$0$$
  • $$1$$
  • $$2a$$
If the sum of an AP is the same for $$p$$ terms as for the $$q$$ terms , Find the sum for $$(p+q)$$ terms
  • $$2$$
  • $$0$$
  • $$4$$
  • None of these
Firs term of an arithmetic progression is $$2$$. If the sum of its first five terms is equal to one-fourth of the sum of the next five terms, then the sum of its first $$30$$ terms is
  • $$2670$$
  • $$2610$$
  • $$-2520$$
  • $$2550$$
$$(n-2)^{th}$$ term of an arithmetic progression will be __________.
  • $$a+(n-1)d$$
  • $$a+(n-3)d$$
  • $$a+(n-2)d$$
  • None
If $$S_{r}$$ denotes the sum of $$r$$ terms of an AP and $$\dfrac {S_{a}}{a^{2}} = \dfrac {S_{b}}{b^{2}} = c$$ then $$S_{c}$$ is
  • $$c^{3}$$
  • $$c/ ab$$
  • $$abc$$
  • $$a + b + c$$
Find the sum of the first $$25$$ terms of an A.P whose $$n$$th term is given by $${a}_{n}=8-3n$$
  • $$-775$$
  • $$-500$$
  • $$800$$
  • $$500$$
There are $$20$$ rows of seats in a conference hall with $$20$$ seats in the first row, $$21$$ seats in the second row, $$22$$ seats in the third row and so on. In total, how many seats are there in the conference hall?
  • $$500$$
  • $$550$$
  • $$590$$
  • $$620$$
If $$\dfrac{2}{3},k, \dfrac{5}{8}$$ are in AP, find the value of k.
  • $$\dfrac{48}{31}$$
  • $$\dfrac{31}{48}$$
  • $$\dfrac{17}{29}$$
  • $$\dfrac{29}{17}$$
Find the number of terms of the A.P $$-12,-9,-6,.....,21$$. If $$1$$ is added to each term of this A.P., then find the sum of all terms of the A.P thus obtained.
  • $$10,66$$
  • $$12,66$$
  • $$14,66$$
  • None of these
Find the sum of the first $$15$$ terms of the sequence having $$n$$th term as
$${ y }_{ n }=9-5n\quad $$
  • $$-390$$
  • $$468$$
  • $$-465$$
  • $$-468$$
Find the sum of the first $$25$$ terms of an A.P whose $$n$$th term is given by $${a}_{n}=2-3n$$.
  • $$-925$$
  • $$-928$$
  • $$-923$$
  • $$-929$$
If two terms of an arithmetic progression are known, which values need to be determined to form the entire arithmetic progression?
  • If $$a$$ and $$d$$ can be found out.
  • If $$a$$ and $$n$$ can be found out.
  • If $$n$$ and $$d$$ can be found out.
  • If $$t_n$$ and $$n$$ can be found out.
The first term and the common difference of the arithmetic progression $$3,10,17,24,...$$ is?
  • $$7$$ and $$3$$
  • $$3$$ and $$7$$
  • $$3$$ and $$10$$
  • Not defined
The first term of an $$AP$$ whose $$6^{th}$$ terms is $$5$$ and the $$10^{th}$$ terms is $$9$$ is ____________.
  • $$4$$
  • $$10$$
  • $$0$$
  • $$6$$
An arithmetic progression is defined as a sequence that has a fixed _______ between its two consecutive numbers.
  • difference
  • ratio
  • sum
  • Cant say
If the sum of first $$2n$$ terms of the A.P. 2,5,8,... is equal to the sum of first $$n$$ terms of the A.P. 57, 59, 61,... ,then $$n$$ equals
  • 10
  • 12
  • 11
  • 13
Which of the following are in arithmetic progression?
  • $$2,6,10,14,.....$$
  • $$15,12,9,6,.....$$
  • $$5,9,12,18,.....$$
  • $$\dfrac{1}{2},\dfrac{1}{3}, \dfrac{1}{4}, \dfrac{1}{5}.......$$
What is the common difference in the arithmetic progression $$2,7,12,17,...$$?
  • $$6$$
  • $$5$$
  • $$7$$
  • $$9$$
If any one term of an arithmetic progression along with the position of the term in the A.P. and the common difference are known, then which of the following can be found out.
  • The first term.
  • The term before the known term.
  • The term after the known term.
  • All of the above.
The sum of $$n$$ terms of an A.P. is dependent on which of the following parameters?
  • Only $$a$$ and $$d$$.
  • Only $$n$$ and $$d$$.
  • $$a, n$$ and $$d$$.
  • Only $$a$$ and $$n$$.
$$\sqrt{8},\sqrt{18},\sqrt{32}$$ are in AP. Find the next term and common difference.
  • $$\sqrt {50}, \sqrt 2$$
  • $$\sqrt {55}, 2$$
  • $$\sqrt {48}, \sqrt 2$$
  • None
Which term of the sequence 4, 9, 14, 19, ..., is 124 ?
  • 25
  • 30
  • 15
  • 35
Chose the correct option for the following sequence:
$$-25, -23, -21, -19..$$
  • is an $$A.P.$$ Reason $$d=3$$
  • is an $$A.P.$$ Reason $$d=2$$
  • is an $$A.P.$$ Reason $$d=4$$
  • is not an $$A.P.$$
The common difference of the A.P. $$3, 5, 7,....$$ is _________.
  • $$4$$
  • $$2$$
  • $$3$$
  • $$-2$$
Find the common difference of  $$4,\dfrac{15}{2}, 11$$
  • $$\frac { 7 }{ 2 } $$
  • $$\frac { 2 }{ 7 } $$
  • $$\frac { 11 }{ 41 } $$
  • $$\frac { 41 }{ 11 } $$
The common difference of the A.P.: 3, 5, 7, ..... is __.
  • $$4$$
  • $$2$$
  • $$3$$
  • $$-2$$
A conference hall has nine rows of chairs which are in AP. If the sum of chairs of first five consecutive rows is $$230$$ and $$7th$$ row has $$52$$ chairs, then the number of chairs in first row is
  • $$40$$
  • $$42$$
  • $$44$$
  • $$46$$
Riya arranged her magazines collection in three columns so that the number of magazines in columns form an $$AP$$. If the sum of number of magazines in all three columns is $$18$$ and the number of magazines in last column is $$9,$$ then first column has ____ number of magazines.
  • $$2$$
  • $$3$$
  • $$4$$
  • None of these
 For  an  A.P.  $$a_1,a_2,...a_n$$   and $$a_1=\frac{5}{2},a_{10}=16$$.
 If  sum of $$n$$  terms is $$110$$  then $$n$$  equals
  • $$9$$
  • $$10$$
  • $$11$$
  • $$12$$
If $$8^{th}$$ term of an A.P is $$15$$, then the sum of $$15$$ terms is
  • $$15$$
  • $$0$$
  • $$225$$
  • $$\dfrac{225}2$$
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