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1) For what value of
p, are 2p1, 7 and 3p three consecutive terms of an A.P? (P=3)

2) Find the value of
k, so that 3k + 7, 2k +5, 2k + 7 are in A.P (k= 4)

3) Find the 15^{th} term from the end of the
A.P: 3, 5, 7,………, 201(173)

4) Find the 11^{th} term from the end of the A.P: ^{ }10, 7,
4,……,  62 (32)

5) If Sn_{,} the sum of first n terms of an A.P
is given by Sn = 3n^{2} –
4n, then find its nth^{ }term

(6n –
7)

6) The sum of n terms
of an A.P. is 3n^{2} +
5n. Find the A.P. Hence, find its 16^{th} term

(6n + 2,
98)

7) In
the following A.P. find the missing term , 38, ,  ,  , ,22

8) Find the sum
of all natural numbers less than 100 which are divisible by
6
(816)

9) Find the sum of 3
digit numbers which are not divisible by 7
(424214)

10) Find the sum
of all three digit numbers which leave the remainder 3 when divided by
5 (99090)

11) Find the sum of
first seven multiples of 5
(140)

12) Find the sum of
all natural numbers up to 100, which are not divisible by
5 (4000)

13) In an A.P , if
the 6^{th} and 13^{th} terms are 35 and 70 respectively,
find the sum of its first 20 terms.

14) If the 3^{rd} and 9^{th}term of an A.P.
are 4 and 8 respectively, which term is zero (n = 5)

15) The sum of 4th
and 8th terms of an A.P is 24 and sum of 6^{th} and 10^{th} term is 44. Find
A.P.

16) The 4^{th} term of an A.P is equal to 3 times
the first term and the 7^{th} term
exceeds twice the 3^{rd }term
by 1. Find the A.P (3 ,5 ,7, …)

17) Which term of the
A.P.? 3, 15, 27, 39, will be 120 more than its 21^{st} term ( n = 31)

18) In an A.P., the
first term is 25, nth term is 17 and sum to first n terms is 60.Find n and d
the common
difference.
1

19) Which term of the
sequence 114, 109, 104,is the first negative
term?
(n =24)

20) If the 4^{th} term of an A.P is twice the 8^{th} term, prove that the 10^{th} term is twice the 11^{th} term

21) If 2 + 5 + 8 +
…………………………+ x = 155, find x (n = 10, x = a_{10=}29)

22) For A.P. a_{1},
a_{2}, a_{3}, ………., if a_{4}/a_{7} = 2/3 , find a_{6}/a_{8}
(4/5)

23) Find the sum of
the following A.P:
1 + 3 + 5 + …….. +
199.
(10000)
24) Find the common difference of an AP whose first term is 100 and sum of
first six terms is 5 times the The sum of the next 6 terms
(d=  10)

25) Show that
progression 7, 2, 3, 8, … ……..Is an A.P . Find its n^{th} term (12 – 5n)

26) The angles of a
triangle are in A.P, the last being half the greatest. Find the
angles. (40˚, 60˚, 80˚)

27) Find the sum
of n terms of an A.P whose n^{th} term
is given by t_{n} = 5 –
6n (2n – 3n^{2})

28) Find the middle
term of A.P: 1, 8, 15, ……………,
505 (253)

29) Find the number of
terms of the A.P, 63, 60, 57, ……….. So that their sum is 693 (n = 22,
21)

30) The sum of 3
numbers in A.P is 3 and their product is 35. Find the numbers

(7, 1, and 5)

31) How many terms of
the sequence 18, 16, 14, …………, should be taken so that their sum is
0
(n=
19)

32) A sum of Rs 1400
is to be used to give 7 cash prizes to students of a school for their overall
academic Performance if each prize is Rs40 less than the preceding
price, find the value of each of the prizes. (320, 280, 240,
200, 160, 120, 80)

33) Verify that a +
b, (a + 1) + b, (a + 1) + (b + 1) ……….. Is an A.P. and then write its next
term (a+2) + (b+1)

34) Determine the A.P
whose 3^{rd} term is 16
and 7^{th} term exceeds
the 5^{th} term by
12
(4, 6, 10, 16 ,…………)

35) If the n^{th} term of the A.P. 9, 7, 5, ………… is
the same as the n^{th} term
of the A.P. 15, 12, 9, ………., find n
(n = 7 )

36) Find the sum of
first 22 terms of an A.P. in which d = 7 and 22^{nd} term is 149
(1661)

37) Find the sum of
the following A.P: 3, 9/2, 6, 15/2, ……….
To 25 terms (525)

38) The ratio of the
sum to p terms and q terms of an A.P. is p^{2} : q^{2}. Prove that the
common difference of the A.P.is twice The first term

39) In an A.P., if
the sum of its 4^{th} and
10^{th} terms is 40,
and the sum of its 8^{th} and
16^{th }terms is 70,
then find the sum of its First 20 terms

40) Three consecutive
positive integers are taken such that the sum of the square of the first and
the product of the other two Is 154. Find the integers
(3, 5, 7……….).

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Wednesday, 28 December 2011
CBSE/NCERT 10 Maths Guess Questions Chapter Arithmetic Progressions
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