CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 16 - MCQExams.com

Check whether $$46$$ is a term of an $$AP$$ $$2, 5, 8, 11, ..... 65$$ or not.
  • Yes
  • No
  • Can't say anything
  • None of these
State true/false:
The first negative term of an $$AP$$ $$35, 30, 25, 20, ..... $$ is $$9th$$ term.
  • True
  • False
Which of the following arithmetic progression has $$0$$ as its term?
  • $$9, 7, 5, 3, ......$$
  • $$15, 11, 7, ....$$
  • $$12, 7, 2, .....$$
  • $$6, 4, 2, .....$$
Which of the following is the term of given $$AP$$
 $$5, 8, 11, 14, 17, ......$$?
  • $$19$$
  • $$20$$
  • $$21$$
  • $$22$$
The first three terms of an $$AP$$ are $$57, 53$$ and $$49$$. Which of the following term will be its first negative term?
  • $$14th$$
  • $$15th$$
  • $$16th$$
  • None of these
The middle most term of an $$AP$$ $$-7, -3, 1, ......, 49$$ is
  • $$a_7 = 17$$
  • $$a_8 = 17$$
  • $$a_7 = 21$$
  • $$a_8 = 21$$
Check whether $$6$$ is a term of an $$AP$$ $$34, 30, 26, 22, 18, ...$$ or not?
  • Yes
  • No
  • Can't say anything
  • Nine of these
Which of the following term of the arithmetic progression $$36, 33, 30, 27, ....$$ is $$0$$?
  • $$12th$$ term
  • $$13th$$ term
  • $$14th$$ term
  • $$15th$$ term
The arithmetic progression whose common difference is $$5$$ and $$6th$$ term is $$30,$$ is
  • $$5, 10, 15, 20, 25, 30, ......$$
  • $$4, 10, 14, 19, 23, 30, .......$$
  • $$3, 8, 13, 19, 23, 30, ......$$
  • None of these
Is $$132$$ a term of an $$AP$$ $$7, 10, 13, 16, 19, ......$$?
  • Yes
  • No
  • Can't say anything
  • None of these
For an $$AP,$$ if the sum of four consecutive terms is $$42,$$ and common difference is $$1.$$ Then its first term is
  • $$9$$
  • $$10$$
  • $$11$$
  • $$12$$
5,5,5,... forms a ______
  • Series
  • Sequence
  • Progression
  • None of the above
The sum of three terms in an $$AP$$ is $$9$$ and sum of their squares is $$45.$$ Find the terms.
  • $$0, 3, 6$$
  • $$0, 4, 5$$
  • $$0, 2, 7$$
  • None of these
If the sum and product of 3 consecutive terms of an $$AP$$ is $$12$$ and $$0$$ respectively, then what will be the terms?
  • $$2, 3, 7$$
  • $$1, 5, 7$$
  • $$0,4,8$$
  • None of these
Whole numbers from a sequence/progression, as they are formed by the fixed rule of adding 1 to previous whole number.
  • True
  • False
If $$a_1, a_2, a_3, ....$$ is an A.P. such that $$a_1+a_5+a_{10}+a_{15}+a_{20}+a_{24}=225$$ then $$a_1+a_2+a_3+ ... +a_{23}+a_{24}$$ is equal to-
  • $$909$$
  • $$75$$
  • $$750$$
  • $$900$$
The sum of digits of all numbers from 1 to 300 is equal to 
  • 3000
  • 3003
  • 3033
  • none of these
Let $$(1+x)^n=\sum _{ r=0 }^{ n }{ { a }_{ r }{ x }^{ r } } $$. Then $$(1+\frac {a_1}{a_0})(+\frac {a_2}{a_1})....(1+\frac {a_n}{a_{n-1}})$$ is equal to:
  • $$\frac {(n+1)^{n+1}}{n!}$$
  • $$\frac {(n+1)^{n}}{n!}$$
  • $$\frac {(n)^{n-1}}{(n-1)!}$$
  • $$\frac {(n+1)^{n+1}}{(n-1)!}$$
If $${ S }_{ 1 },{ S }_{ 2 },{ S }_{ 3 },.......,{ S }_{ r }$$ are the sums of first n terms of r arithmetic progression whose first terms are $$1,2,3......$$ and whose common differences are $$1,3,5,.......$$ respectively, then the value of $${ S }_{ 1 }+{ S }_{ 2 }+{ S }_{ 3 }+.......+{ S }_{ r }$$ is 
  • $$\frac { (nr-1)(nr+1) }{ 2 } $$
  • $$\frac { (nr+1)nr }{ 2 } $$
  • $$\frac { (nr-1)nr }{ 2 } $$
  • $$\frac { n(nr+1) }{ 2 } $$
$$\text{In an A.P, if $S_{2}=4$ and $S_{1}=-5$ then d is equal to }$$
  • 9
  • 14
  • -9
  • -4
The average of certain first consecutive even number is $$101$$. Find their sum?
  • $$25,000$$
  • $$33,600$$
  • $$10100$$
  • $$24,960$$
$${\log _5}2,\,\,{\log _6}\,2,\,\,{\log _{12}}\,\,2\,\,$$ are in 
  • A.P
  • G.P
  • H.P
  • none of these
In an A.P., $$S_p=q$$ and $$S_q=p$$, where $$ S_r $$ denotes the sum of the first $$r$$ terms of an A.P. Then, the value of $$S_{p+q}$$ is
  • $$0$$
  • $$-(p+q)$$
  • $$p+q$$
  • $$pq$$
If the sum of the three consecutive terms of A.P is $$48$$ and product of the first the last is $$252$$, and d=........
  • 2
  • 3
  • 4
  • 16
Choose the correct alternative for questions:
For an A.P., if d=11, then $${ t }_{ 17 }-{ t }_{ 15 }=?$$
  • 2
  • 22
  • 33
  • 13
What is the common difference of an A.P. whose nth term is $${ t }_{ n }=2n-4$$ 
  • 3
  • 2
  • -2
  • -3
The sum of five consecutive odd numbers isThe smallest number is
  • 51
  • 53
  • 55
  • 57
In $$n^{th}$$ term of an AP is 7n-1 then
  • First term=6
  • Common difference=7
  • Sum of n terms $$\dfrac{n(7n+5)}{2}$$
  • Second term=15
Let a, b, c be three distinct positive numbers which are in G.P, if $${ log }_{ c }a,{ log }_{ b }c,{ log }_{ a }b$$ are in A.P., then the common difference of the A.P is 
  • $$\cfrac { 1 }{ 2 } $$
  • $$\cfrac { 3 }{ 2 } $$
  • $$\cfrac { 5 }{ 2 } $$
  • $$\cfrac { 7 }{ 2 } $$
How many terms of the $$ AP -5, \frac{-9}{2}, -4, $$ .... will give the sum $$0$$?
  • $$21$$
  • $$18$$
  • $$23$$
  • $$16$$
0:0:1


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