The n" term of an A.P. is given by an = 3 + 4n. The common difference is
and
da-3
2.2 If the sum of three numbers in an A. P. is 9 and their product is 24, then numbers are
Cixatola+ 10240,atd at 200 na
0.3 The nth term of an A.P.5,2,-1,-4, -7 ... is
3 cal + 3d=9
'
3 cards
6 + 3 n.
The 10* term from the end of the A.P. -5, -10,- 15,..., -1000 is - 50 atd=3
an = 3 + 1 n - 1 - 3
Find the values of y for which the distance between the points P(2, - 3) and Q(10, y) is 10 units.y=-9
The 10th term from the end of the A.P. 4.9,14, ...,254 is 49.
3
26
In an AP if d = -2, n = 5 and an = 0, the value of a is
28 In an A.P., if the cominon difference (d) = -4 and the seventh term (az) is 4, then find the first term. 28
0.9
What is the common difference of an A.P. in which ajı - az = 84?
eto Which term of the AP 21, 18, 15, .., is zero? n = 8
A
IH For what value of p, are 2p+ 1, 13, 5p - 3 three consecutive terms of an AP?p=4
0.12 In an AP, if d =-4, n = 7 and an = 4, then a is equal to a =.8
6.13 Find the ratio in which the line segment joining the points (-3, 10) and (6-8) is divided by (-1,6).
Q.14 Find the ratio in which the line segment joining A(1,-5) and B(-4,5) is divided by the x-axis. Also fin
the coordinates of the point of division.
215 If(1, 2), (4,y),(x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. 126,
Q.16 Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and
B is (1,4).
24. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th term? 97 = 33
2.18 Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in
ratio 3: 1 internally
0.19 If the first term of an AP is - 5 and the common difference is 2, then the sum of the first 6 terms is
..20 The sum of first 19 multiples of 3 is
21 Find the distance of the point (-6, ) from the origin
3,6,9,12, 15, 18, 21, 214, 27, 30,
36, 39, 42, 45, 46, 54, 5G
22 Find the ratio in which the line joining the points (6, 4) and (1, -7) is divided by x-axis.
33 Check whether - 150 is a term of the AP : 11,3,5,2...? NO
4 How many multiples of 4 lie between 10 and 250? 60
5 Find the points which are 2 units from x axis and 7 units from y axis
Answers
Answer:
1
Step-by-step explanation:
sum of first 19 multiples of 3 is
21 Find the distance of the point (-6, ) from the origin
3,6,9,12, 15, 18, 21, 214, 27, 30,
36, 39, 42, 45, 46, 54, 5G
22 Find the ratio in which the line joining the points (6, 4) and (1, -7) is divided by x-axis.
33 Check whether - 150 is a term of the AP : 11,3,5,2...? NO
4 How many multiples of 4 lie between 10 and 250? 60
5 Find the points which are 2 units from x axis and 7 units from y axisThe n" term of an A.P. is given by an = 3 + 4n. The common difference is
and
da-3
2.2 If the sum of three numbers in an A. P. is 9 and their product is 24, then numbers are
Cixatola+ 10240,atd at 200 na
0.3 The nth term of an A.P.5,2,-1,-4, -7 ... is
3 cal + 3d=9
'
3 cards
6 + 3 n.
The 10* term from the end of the A.P. -5, -10,- 15,..., -1000 is - 50 atd=3
an = 3 + 1 n - 1 - 3
Find the values of y for which the distance between the points P(2, - 3) and Q(10, y) is 10 units.y=-9
The 10th term from the end of the A.P. 4.9,14, ...,254 is 49.
3
26
In an AP if d = -2, n = 5 and an = 0, the value of a is
28 In an A.P., if the cominon difference (d) = -4 and the seventh term (az) is 4, then find the first term. 28
0.9
What is the common difference of an A.P. in which ajı - az = 84?
eto Which term of the AP 21, 18, 15, .., is zero? n = 8
A
IH For what value of p, are 2p+ 1, 13, 5p - 3 three consecutive terms of an AP?p=4
0.12 In an AP, if d =-4, n = 7 and an = 4, then a is equal to a =.8
6.13 Find the ratio in which the line segment joining the points (-3, 10) and (6-8) is divided by (-1,6).
Q.14 Find the ratio in which the line segment joining A(1,-5) and B(-4,5) is divided by the x-axis. Also fin
the coordinates of the point of division.
215 If(1, 2), (4,y),(x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y. 126,
Q.16 Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and
B is (1,4).
24. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th term? 97 = 33
2.18 Find the coordinates of the point which divides the line segment joining the points (4, -3) and (8,5) in
ratio 3: 1 internally
0.19 If the first term of an AP is - 5 and the common difference is 2, then the sum of the first 6 terms is
..20 The sum of first 19 multiples of 3 is
21 Find the distance of the point (-6, ) from the origin
3,6,9,12, 15, 18, 21, 214, 27, 30,
36, 39, 42, 45, 46, 54, 5G
22 Find the ratio in which the line joining the points (6, 4) and (1, -7) is divided by x-axis.
33 Check whether - 150 is a term of the AP : 11,3,5,2...? NO
4 How many multiples of 4 lie between 10 and 250? 60
5 Find the points which are 2 units from x axis and 7 units from y axis