CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 15 - MCQExams.com

Find the sum of $$2,4,6,8,,,........2n$$
  • $$n(n+1)$$
  • $$n^2$$
  • $$n(n-1)$$
  • $$n^2+n$$
The $$27^{th}$$ term of AP $$7,9,11,13,15,17,19,\ldots$$ is  
  • $$59$$
  • $$61$$
  • $$63$$
  • None of these
How many terms are there in the sequence 3, 6, 9, 12, ..., 111 ?
  • $$32$$
  • $$37$$
  • $$42$$
  • $$49$$
Which of the following pair of terms do you prefer if the sum of two consecutive terms of an $$AP$$ is given whose first term is $$a$$ and common difference is $$d$$?
  • $$a$$ and $$a+d$$
  • $$a$$ and $$a-d$$
  • $$a-d$$ and $$a+d$$
  • None of these
State true/false:
$$3,4,5,6,7,......$$ forms a progression. As they are formed by the rule $$n+1$$
  • True
  • False
It is given that the sum of four terms of an $$AP$$ is $$2$$ and their product is zero, then what will be the terms?
  • $$-1, 0, 1, 2$$
  • $$-2, 0, 2, 4$$
  • $$-2, -1, 0, 2$$
  • None of these
Find the four consecutive terms of an $$AP$$ whose sum is $$12$$ and sum of $$2nd$$ and $$4th$$ term is $$8$$.
  • $$0, 2, 4, 6$$
  • $$0, 3, 5, 7$$
  • $$2, 4, 6, 7$$
  • None of these
In an arithmetic progression, if $${ S }_{ n }=n(5+3n)\quad and\quad { t }_{ n }=32$$, then the value of n is
[Note: $${ S }_{ n }$$ and $${ t }_{ n }$$ denote the sum of first n terms and $${ n }^{ th }$$ term of arithmetic progression respectively.]
  • 4
  • 5
  • 6
  • 7
Find the sum of all odd integers between 2 and 100 divisible by 3.
  • 452
  • 754
  • 867
  • 765
Choose the correct answer from the given four options in the following question:
In an A.P., if $$d = -4, n = 7, a_n = 4,$$ then $$a$$ is
  • 6
  • 7
  • 20
  • 28
Choose the correct answer from the followings for the sequence $$-10, -6, -2, 2, ...$$
  • an A.P. with $$d = -16$$
  • an A.P. with $$d = 4$$
  • an A.P. with $$d = -4$$
  • not an A.P.
Choose the correct answer from the given four options in the following question:
The first four terms of an A.P., whose first term is $$-2$$ and the common difference is $$-2$$, are 
  • $$-2, 0, 2, 4$$
  • $$-2, 4, -8, 16$$
  • $$-2, -4, -6, -8$$
  • $$-2, -4, -8, -16$$
Next three consecutive numbers in the pattern are
11, 8, 5, 2...
  • $$0, – 3, – 6$$
  • $$– 1, – 5, – 8$$
  • $$– 2, – 5, – 8$$
  • $$– 1, – 4, – 7$$
What is the common difference of an A.P. in which $$a_{18}-a_{14} = 32$$?
  • $$8$$
  • $$-8$$
  • $$-4$$
  • $$4$$
Two APs have the same common difference and the 1st term of one AP is -1 and first term of other AP is -Then the difference between their 4th terms is
  • -1
  • -8
  • 7
  • -9
In an A.P $$1^{st}$$ term is $$1$$ and the last term is $$20$$. The sum of all terms is $$=399$$ then $$n=$$....
  • $$42$$
  • $$38$$
  • $$21$$
  • $$19$$
If $$a$$ is constant then $$a + 2a + 3a + ..... + na$$ is
  • $$\dfrac{an(n + 1)}{4}$$
  • $$\dfrac{an(n + 1)}{2}$$
  • $$\dfrac{n(n + 1)}{2}$$
  • $$\dfrac{an(n + 1)}{6}$$
In an A.P, if $$a_{4} = 8 \,\& \,a = 2,$$ then its common difference is
  • $$6$$
  • $$4$$
  • $$2$$
  • $$10$$
If sum of $$n$$ term of $$A.P.$$ is $$S_{n}$$ and $$S_{2n}=3S_{n}$$, then $$S_{3n}: S_{n}$$ will be:
  • $$10$$
  • $$11$$
  • $$6$$
  • $$4$$
If sum of $$n$$ terms of $$A.P$$ is $$3n^2+5n$$, then its which term is $$164$$:
  • $$12^{th}$$
  • $$15^{th}$$
  • $$27^{th}$$
  • $$20^{th}$$
A manufacture company made $$15000$$ mobile phones in its $$17^{th}$$ year. The production has been increasing by $$500$$ every year since the first year.
How many mobile phones did the company make in second year?
  • $$7000$$
  • $$7500$$
  • $$8000$$
  • $$8500$$
In the A.P. $$2, -2, -6, -10........$$ common difference (d) is:
  • $$-4$$
  • $$2$$
  • $$-2$$
  • $$4$$
If we divide $$18$$ into three parts that are in $$AP$$ and whose product is $$120,$$ then formed $$AP$$ is given by
  • $$2, 7, 9$$
  • $$2, 5, 11$$
  • $$2, 6, 9$$
  • $$2, 4, 10$$
Dishan started reading a novel which had $$240$$ pages. At the end of the first day, she was on page number $$45$$. She slowed after that. She read $$39$$ pages every day after the first day. How long did it take Dishan to complete that novel?
  • $$5$$
  • $$6$$
  • $$7$$
  • $$8$$
A roll of thread $$264$$ $$cm$$ long is cut into four parts to make four circles. The radii of the circles increases by $$1$$ $$cm$$ consecutively. Find the radius of smallest circle?
  • $$9$$
  • $$11$$
  • $$12$$
  • $$13$$
M.C.M college had enrollment of $$1625$$ students in the year of $$2014$$ which increases by $$100$$ students per year. What was the enrollment in the year $$2020?$$
  • $$2125$$
  • $$2225$$
  • $$2235$$
  • $$2215$$
Find an $$AP$$ whose general term is given by $$3n+1$$.
  • $$4, 7, 10, 13, .....$$
  • $$3, 6, 9, 12, .....$$
  • $$3, 7, 12, 15, .....$$
  • $$2, 5, 9, 13, .....$$
In a quiz competition, if the first prize is worth $$Rs. 200$$. Each other prize is $$Rs.15$$ less than its proceeding prize, then the worth of $$9th$$ prize is ____.
  • $$60$$
  • $$70$$
  • $$80$$
  • $$90$$
Which of the following $$AP$$ can be formed if the third and fifth terms are $$7$$ and $$11$$ respectively?
  • $$3, 10,7, 13, 11, .......$$
  • $$3, 5, 7, 9, 11, ......$$
  • $$1, 2, 7, 9, 11, .......$$
  • Nine of these
The arithmetic progression whose $$2nd$$ and $$5th$$ terms are $$13$$ and $$19$$ is
  • $$11, 13, 15, 17, ......$$
  • $$11, 13, 14, 17, ......$$
  • $$11, 13, 14, 16, ......$$
  • None of these
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