CBSE Questions for Class 10 Maths Arithmetic Progressions Quiz 7 - MCQExams.com

If $$m$$th term of an A.P. is $$n$$ and $$n$$th term is $$m$$, then the $$(m + n)$$th term is
  • $$0$$
  • $$m+n-1$$
  • $$m+n$$
  • $$\dfrac{mn}{m+n}$$
If the sum to n terms of an A.P. is $$3n^2+5n$$ while $$T_m=164$$, then value of m is
  • $$25$$
  • $$26$$
  • $$27$$
  • $$28$$
If the sum of all the terms of an A.P.: $$25, 22, 19, ......,$$ $$t_n$$ is $$116,$$ then $$n$$ is
  • $$8$$
  • $$4$$
  • $$2$$
  • $$16$$
If $$m^{th}$$ term of an A.P. is $$n$$ and $$n$$th term is $$m$$, then the $$r^{th}$$ term is
  • $$m + n - r $$
  • $$m + n + r$$
  • $$m - n + r$$
  • $$r - (m + n)$$
In an A.P., if the common difference is $$2$$ and sum up to $$n$$ terms is $$49$$ and $$7^{th}$$ term is $$13$$, then value of $$n$$ is equal to?
  • $$0$$
  • $$5$$
  • $$7$$
  • $$13$$
In an A.P., if $$a = 3.5$$, $$d = 0$$, $$n = 101$$, then $$a_n$$ will be
  • $$0$$
  • $$3.5$$
  • $$103.5$$
  • $$104.5$$
If the first term of an AP is $$5$$ and the common difference is $$-2,$$ then the sum of the first $$6$$ terms is
  • $$0$$
  • $$5$$
  • $$6$$
  • $$15$$
The $$11^{th}$$ term of the series $$ \displaystyle -5,\frac{-5}{2},0,\frac{5}{2},\cdots$$ is
  • $$20$$
  • $$30$$
  • $$40$$
  • $$50$$
In an AP if $$a = 1$$, $${ a }_{ n }=20$$ and $${ S }_{ n }=399$$, then $$n$$ is
  • $$19$$
  • $$21$$
  • $$38$$
  • $$42$$
If the common difference of an AP is $$5,$$ then what is $$a_{18}-a_{13}$$ ?
  • $$5$$
  • $$20$$
  • $$25$$
  • $$30$$
Which term of the AP, $$21, 42, 63, 84,...$$ is $$210?$$
  • $$9^{th}$$
  • $$10^{th}$$
  • $$11^{th}$$
  • $$12^{th}$$
If the $${2}^{nd}$$ term of an AP is $$13$$ and the $${5}^{th}$$ term is $$25,$$ what is its $${7}^{th}$$ term?
  • $$30$$
  • $$33$$
  • $$37$$
  • $$38$$
The $$4^{th}$$ term from the end of the AP: $$11, 8, 5, ..., -49$$ is
  • $$-37$$
  • $$-40$$
  • $$-43$$
  • $$-58$$
If $$7$$ times the $$7^{th}$$ term of an AP is equal to $$11$$ times its $$11^{th}$$ term, then its $$18^{th}$$ term will be
  • $$7$$
  • $$11$$
  • $$18$$
  • $$0$$
The $$21^{st}$$ term of the AP whose first term is $$3$$ and second term is $$4$$, is
  • $$17$$
  • $$19$$
  • $$21$$
  • $$23$$
The sum of the first $$16$$ terms of the AP: $$10, 6, 2,...$$ is
  • $$-320$$
  • $$320$$
  • $$-400$$
  • $$400$$
The sum of first five multiples of $$3$$ is
  • $$45$$
  • $$55$$
  • $$65$$
  • $$75$$
$$10^{th}$$ term of AP: $$2, 7, 12, .....$$ is
  • $$35$$
  • $$47$$
  • $$55$$
  • None of the above
If the $$n^{th}$$ term of an A.P. is given by $$a_n=5n-3$$, then the sum of first $$10$$ terms is
  • $$225$$
  • $$245$$
  • $$255$$
  • $$270$$
Say true or false.
If $$l$$  is the last term of the finite A.P., say with the $$ n$$ terms, and the first term is $$a$$ then the sum of all terms of the A.P. is given by $$S=\dfrac {n}{2}(a+l).$$
  • True
  • False
The sum to $$200$$ terms of the series $$1+4+6+5+11+6+.....$$ is
  • $$29,600$$
  • $$29,800$$
  • $$30,200$$
  • None of these
The sum of $$11$$ terms of an A.P. whose middle term is $$30,$$ is 
  • $$320$$
  • $$330$$
  • $$340$$
  • $$350$$
If the sum of the series $$54+51+48+.....$$ is $$513$$, then the number of terms are 
  • $$18$$
  • $$20$$
  • $$17$$
  • None of these
There are $$60$$ terms in an A.P. of which the first term is $$8$$ and the last term is $$185.$$ The $$31^{st}$$ term is
  • $$56$$
  • $$94$$
  • $$85$$
  • $$98$$
If $$t_n=6n+5$$, then $$t_{n+1}=$$
  • $$6(n+1)+17$$
  • $$6(n-1)+17$$
  • $$6n+11$$
  • $$6n-11$$
If the sum of the series $$2+5+8+11.....$$ is $$60100$$, then the number of terms are
  • $$100$$
  • $$200$$
  • $$250$$
  • $$300$$
The sum of 24 terms of the series $$1, -3, 4, -6, 7, -9, 10, ...$$ is
  • 24
  • -24
  • 16
  • -16
Following two given series are in A.P.
$$2, 4, 6, 8 ...$$$$3, 6, 9, 12 ...$$
First series contains $$30$$ terms, while the second series contains $$20$$ terms. Both of the above given series contains some terms, which are common to both of them.The sum of both the above given A.P. are respectively:
  • $$(930, 630)$$
  • $$(630, 930)$$
  • $$(870, 580)$$
  • $$(580, 870)$$
A ladder has rungs $$25$$ cm apart. The rungs decrease uniformly in the length from $$45$$ cm at the bottom to $$25$$ cm at the top. If the top and the bottom rungs are $$\displaystyle 2 \frac{1}{2}$$m apart, what is the length of the wood required for the rungs
  • $$280$$ cm
  • $$320$$ cm
  • $$250$$ cm
  • $$385$$ cm
The sum of $$12$$ terms of an A.P., whose first term is $$4,$$ is $$256.$$ What is the last term?
  • $$35$$
  • $$36$$
  • $$37$$
  • None
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