EduSahara™ Assignment
Name : Geometric Progression
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The first term of the G.P.
2
,
10
,
50
,
250
,
1250
,
. . .
=
(i)
10
(ii)
250
(iii)
50
(iv)
1250
(v)
2
Question
2
2.
The first term of the G.P.
5
2
,
5
12
,
5
72
,
5
432
,
5
2592
,
. . .
=
(i)
5
432
(ii)
5
2
(iii)
5
72
(iv)
5
12
(v)
5
2592
Question
3
3.
The common ratio of the G.P.
3
,
6
,
12
,
. . .
=
(i)
5
(ii)
1
(iii)
-1
(iv)
3
(v)
2
Question
4
4.
The common ratio of the G.P.
1
3
,
1
12
,
1
48
,
. . .
=
(i)
1
4
(ii)
1
6
(iii)
(
-1
4
)
(iv)
3
4
(v)
1
2
Question
5
5.
The
t
8
of the G.P.
4
,
12
,
36
,
. . .
=
(i)
8748
(ii)
8746
(iii)
8747
(iv)
8750
(v)
8749
Question
6
6.
The
t
5
of the G.P.
1
4
,
1
20
,
1
100
,
. . .
=
(i)
3
2500
(ii)
1
2500
(iii)
1
2498
(iv)
1
2502
(v)
(
-1
2500
)
Question
7
7.
Determine
t
7
of a G.P. whose
t
8
is
9
6588344
and common ratio is
1
7
.
(i)
1
134456
(ii)
9
941190
(iii)
9
941192
(iv)
11
941192
(v)
9
941194
Question
8
8.
The
t
3
of a G.P. is
16
and
t
5
is
64
.
Find
t
4
.
(i)
31
(ii)
35
(iii)
33
(iv)
30
(v)
32
Question
9
9.
The
t
8
of a G.P. is
4
6561
and
t
4
is
4
81
.
Find
t
7
.
(i)
4
2187
(ii)
4
2185
(iii)
2
2187
(iv)
2
729
(v)
4
2189
Question
10
10.
Which term of the G.P.
3
,
15
,
75
,
. . .
is
1875
?
(i)
t
4
(ii)
t
3
(iii)
t
6
(iv)
t
8
(v)
t
5
Question
11
11.
Which term of the G.P.
5
8
,
5
56
,
5
392
,
. . .
is
5
19208
?
(i)
t
6
(ii)
t
5
(iii)
t
3
(iv)
t
7
(v)
t
4
Question
12
12.
The sum of first three terms of a G.P. is
21
while their product is
216
.
Find the G.P.
(i)
4
,
8
,
16
,
. . .
(ii)
3
,
6
,
12
,
. . .
(iii)
3
,
-3
,
3
,
. . .
(iv)
3
,
3
,
3
,
. . .
(v)
5
,
10
,
20
,
. . .
Question
13
13.
The sum of first three terms of a G.P. is
114
245
while their product is
8
42875
.
Find the G.P.
(i)
2
5
,
2
35
,
2
245
,
. . .
(ii)
2
7
,
2
49
,
2
343
,
. . .
(iii)
2
5
,
2
25
,
2
125
,
. . .
(iv)
2
5
,
(
-2
35
)
,
2
245
,
. . .
(v)
4
5
,
4
35
,
4
245
,
. . .
Question
14
14.
Find the common ratio and next four terms of the following G.P.
7
,
2.8
,
1.12
(i)
0.5
;
0.448
,
0.1792
,
0.07168
,
0.028672
(ii)
0.5
;
0.189
,
0.0567
,
0.01701
,
0.005103
(iii)
0.4
;
0.448
,
0.1792
,
0.07168
,
0.028672
(iv)
0.5
;
0.875
,
0.4375
,
0.21875
,
0.109375
Question
15
15.
Find the common ratio and the next four terms of the
following G.P.
√
6
,
4
√
3
,
8
√
6
. . .
(i)
√
6
;
64
√
6
;
256
√
3
;
512
√
6
;
2048
√
3
(ii)
√
8
;
32
√
3
;
64
√
6
;
256
√
3
;
512
√
6
(iii)
√
8
;
9
√
2
;
9
√
6
;
27
√
2
;
27
√
6
(iv)
√
6
;
32
√
3
;
64
√
6
;
256
√
3
;
512
√
6
(v)
√
8
;
8
√
6
;
16
√
6
;
32
√
6
;
64
√
6
Question
16
16.
Find the value
' x '
so that
5
4
,
x
,
4
5
, are three consecutive terms of a G.P.
(i)
-2
(ii)
0
(iii)
1
(iv)
4
(v)
2
Question
17
17.
If a, b, c are three consecutive terms of an A.P, then which of the following are true?
a)
a
b
,
b
c
,
c
a
are in G.P.
b)
k
b
,
k
a
,
k
c
are in G.P.
c)
a
k
,
b
k
,
c
k
are in G.P.
d)
k
a
,
k
b
,
k
c
are in G.P.
(i)
{b,d}
(ii)
{d}
(iii)
{a,d}
(iv)
{c,a,d}
Question
18
18.
If the nth ,(n+3)rd and (n+6)th term of a G.P. are p, q and s respectively, then which of the following are true?
a)
s
2
=
pq
b)
q
2
=
ps
c)
pqs = 1
d)
p
2
=
qs
(i)
{c,b}
(ii)
{b}
(iii)
{d,a,b}
(iv)
{a,b}
Question
19
19.
Find the common ratio and next four terms of the following G.P.
5
3
,
(
-5
9
)
,
5
27
. . .
(i)
2
3
;
(
-5
81
)
,
5
243
,
(
-5
729
)
,
5
2187
(ii)
(
-1
3
)
;
(
-5
81
)
,
5
243
,
(
-5
729
)
,
5
2187
(iii)
2
3
;
(
-320
81
)
,
1280
243
,
(
-5120
729
)
,
20480
2187
(iv)
2
3
;
40
81
,
80
243
,
160
729
,
320
2187
Question
20
20.
Which term of the G.P.
2
,
2
√
2
,
4
. . .
is
8
√
2
?
(i)
t
6
(ii)
t
7
(iii)
t
8
(iv)
t
5
(v)
t
3
Question
21
21.
The
t
n
of a G.P. =
(i)
(
r
)
(
(
a
)
n
−
1
)
(
a
−
1
)
(ii)
r
a
(
n
−
1
)
(iii)
a
r
(
n
−
1
)
(iv)
(
a
)
(
(
r
)
n
−
1
)
(
r
−
1
)
Question
22
22.
Given a =
1
, r =
0.60
find
t
3
and
t
n
of the G.P.
(i)
0.26
;
0.60
(
n
−
1
)
(ii)
0.56
;
0.40
(
n
−
1
)
(iii)
0.46
;
1.60
(
n
−
1
)
(iv)
0.36
;
0.60
(
n
−
1
)
(v)
0.16
;
0.60
(
n
−
1
)
Question
23
23.
The sum of first three terms of a G.P. is
14
and
the sum of next three terms is
112
.
Determine the G.P.
(i)
4
,
2
,
8
,
16
,
32
,
64
,
. . .
(ii)
5
,
1
,
8
,
16
,
32
,
64
,
. . .
(iii)
0
,
6
,
8
,
16
,
32
,
64
,
. . .
(iv)
2
,
4
,
8
,
16
,
32
,
64
,
. . .
(v)
-1
,
7
,
8
,
16
,
32
,
64
,
. . .
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (i)
5) (i)
6) (ii)
7) (iii)
8) (v)
9) (i)
10) (v)
11) (ii)
12) (ii)
13) (i)
14) (iii)
15) (ii)
16) (iii)
17) (ii)
18) (ii)
19) (ii)
20) (i)
21) (iii)
22) (iv)
23) (iv)
