CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 9 - MCQExams.com

If $$7^{th}$$ and $$13^{th}$$ terms of an A.P. are  34 and 64, respectively, then its $$18^{th}$$ term is
  • $$87$$
  • $$88$$
  • $$89$$
  • $$90$$
Find the $$12^{th}$$ term from the end of the arithmetic progression $$3, 5, 7, 9,...201?$$
  • $$179$$
  • $$175$$
  • $$172$$
  • $$174$$
In an A.P., $$S_1 = 6, S_7 = 105,$$ then $$S_n$$: $$S_{n-3}$$ is same as
  • $$(n + 3) : (n - 3)$$
  • $$(n + 3) : n$$
  • $$n : (n - 3)$$
  • None of these
The sum of all two digit numbers which leave remainder $$1$$ when divided by $$3$$ is
  • $$1616$$
  • $$1602$$
  • $$1605$$
  • None of these
If the $$nth$$ term of the AP $$9, 7, 5..$$ is same as the $$nth$$ term of the AP $$15, 12, 9,...$$, find $$n.$$
  • $$7$$
  • $$8$$
  • $$9$$
  • $$10$$
Find $$n$$ if the given value of $$x$$ is the $$n^{th}$$ term of the AP: $$5\dfrac{1}{2}, 11, 16\dfrac{1}{2},22,... $$ ; $$x=550$$. 
  • $$100$$
  • $$110$$
  • $$200$$
  • $$220$$
Which term of the AP: $$3, 10, 17,..$$ will be $$84$$ more than its $$13^{th}$$ term?
  • $$25^{th}$$
  • $$24^{th}$$
  • $$35^{th}$$
  • $$34^{th}$$
How many terms are there in the A.P., $$7, 13, 19, ...205$$ ?
  • $$32$$
  • $$33$$
  • $$34$$
  • $$35$$
If the sum of $$n$$ terms of an AP is $$2n$$$$^2$$ $$+ 5n$$, then its $$n$$th term is
  • $$4n - 3$$
  • $$3n - 4$$
  • $$4n + 3$$
  • $$3n + 4$$
Find the sum of all even integers between $$101$$ and $$999.$$
  • $$246950$$
  • $$249650$$
  • $$256950$$
  • $$276950$$
Which term of the A.P.,  $$84, 80, 76,..$$ is $$0?$$
  • $$18^{th}$$ term
  • $$20^{th}$$ term
  • $$22^{nd}$$ term
  • $$24^{th}$$ term
 Find the sum of first $$n$$ odd natural numbers.
  • $$n^3$$
  • $$n(n+1)$$
  • $$n(n+1)^2$$
  • $$n^2$$
The $$6^{th}$$ and $$17^{th}$$ terms of an AP are $$19$$ and $$41$$ respectively, find the $$40^{th}$$ term.
  • $$87$$
  • $$77$$
  • $$85$$
  • $$89$$
Find the second term and $$nth$$ term of an AP whose $$6th$$ term is $$12$$ and $$8th$$ term is $$22.$$
  • $$a_2$$ $$= -9,$$ $$a_n$$ $$= 3n -43$$
  • $$a_2$$ $$= 7,$$ $$a_n$$ $$= 3n -52$$
  • $$a_2$$ $$= -8,$$ $$a_n$$ $$= 5n -18$$
  • $$a_2$$ $$= -9,$$ $$a_n$$ $$= 5n -38$$
Find the sum of all multiples of $$9$$ lying between $$300$$ and $$700$$.
  • $$21978$$
  • $$22978$$
  • $$21970$$
  • $$21960$$
Which of the following are $$AP's$$? If they form an $$AP$$, find the common difference $$d$$ and the first $$3$$ terms.
$$3, 3 + $$$$\sqrt{2}$$, $$3 +$$ 2$$\sqrt{2}$$, $$3 + $$3$$\sqrt{2}$$,...
  • It is not an $$A.P.$$ 
  • It is an $$A.P$$ and $$d=\sqrt2$$, $$t_5=3 + 4\sqrt {2}$$, $$t_6 = 3 + 5\sqrt{2}$$, $$t_7 =3 + 6\sqrt{2}$$
  • It is an $$A.P$$ and $$d=\sqrt3$$, $$t_5 = 3 + 4\sqrt {2}$$, $$t_6 = 4 + 5\sqrt {2}$$, $$t_7$= 5 + 6\sqrt {2}$$
  • None of these
In a garden bed, there are $$23$$ rose plants in the first row, twenty one in the second row, nineteen in the third row and so on. There are five plants in the last row. How many rows are there of rose plants?
  • $$12$$ rows
  • $$10$$ rows
  • $$14$$ rows
  • $$16$$ rows
Find $$a_{30} -a_{20}$$ for the $$AP$$ $$: a, a + d, a + 2d, a + 3d,...$$
  • $$60d$$
  • $$50d$$
  • $$10d$$
  • $$\dfrac{3}{2}d$$
The sum of the first $$9$$ terms of an $$A.P$$ is $$81$$ and the sum of it's first $$20$$ terms is $$400.$$ Find the first term, the common difference and the sum upto $$15th$$ term.
  • $$a = 1, d =2,$$ $$S_{15} = 235$$
  • $$a = 3, d =4, S_{15} = 215$$
  • $$a = 5, d =3, S_{15} = 205$$
  • None of these
A man saved Rs. $$16500$$ in ten years. In each year after the first he saved Rs. $$100$$ more than he did in the preceding year. How much did he save in the first year?
  • Rs. $$1400$$
  • Rs. $$1600$$
  • Rs. $$1500$$
  • Rs. $$1200$$
How many terms are there in the AP whose first and fifth terms are $$-14$$ and $$2$$ respectively and the sum of the terms is $$40?$$
  • $$5$$
  • $$10$$
  • $$30$$
  • $$55$$
Find the sum of odd numbers between $$0$$ and $$50$$.
  • $$800$$
  • $$745$$
  • $$625$$
  • $$520$$
In an AP,
Given $$a =5, d = 3,$$ $$a_n$$ $$= 50$$, find $$n$$ and $$S_n$$.
  • $$330$$
  • $$390$$
  • $$440$$
  • $$560$$
Find the $$S_{15} $$ for an AP whose $$nth$$ term is given by $$a_n$$ $$= 3 + 4n$$.
  • $$420$$
  • $$525$$
  • $$630$$
  • $$675$$
In an AP, given $$a_n = 4, d = 2, S_n = -14,$$ find $$n$$ and $$a$$.
  • $$n=11$$ and $$a=-3$$
  • $$n=10$$ and $$a=-3$$
  • $$n=7$$ and $$a=-8$$
  • $$n=10$$ and $$a=3$$
How many terms of the A.P.: $$9, 17, 25,...$$ must be taken to give a sum of $$636$$?
  • $$6$$
  • $$8$$
  • $$12$$
  • $$16$$
In an AP,
Given $$l = 28, S = 144$$  and there are total $$9$$ terms. Find $$a$$.
  • $$a=3$$
  • $$a=4$$
  • $$a=5$$
  • $$a=7$$
Find the sum of first $$51$$ terms of an AP, whose second and third terms are $$14$$ and $$18$$ respectively.
  • $$5610$$
  • $$5800$$
  • $$6120$$
  • $$6680$$
The $$6^{th}$$ term of an arithmetic progression is $$-10$$ and the $$10^{th}$$ term is $$-26.$$ Determine the $$15^{th}$$ term of the AP.
  • $$15^{th}$$ term of AP is $$-14$$
  • $$15^{th}$$ term of AP is $$-86$$
  • $$15^{th}$$ term of AP is $$-46$$
  • $$15^{th}$$ term of AP is $$-35$$
Write first four terms of the AP, when the first term $$a$$ and the common difference $$d$$ are given as follows $$a = -1.25, d = -0.25.$$
  • First four terms of the given AP are $$-1.25, -1.70, -1.95, -2.00$$
  • First four terms of the given AP are $$-1.25, -1.50, -1.75, -2.00$$
  • Not an AP
  • None of these
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