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Sequence & Series Set 1

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

If x>0 then, 1+ loge2 x/1! +loge2 x/2! + ….... =

a)

x

b)

x2

c)

2x

d)

√x

2.

If A, B, C are the angles of a triangle and e^ia ,e^ib, e^ic are in A.P. Then the triangle must be

a)

right angled

b)

isosceles

c)

equilateral

d)

Pluto

3.
Find the geometric mean of numbers 7, 7^2, 7^3 ,.......,7^n
a)

7 ^ (n+1/2)

b)

5 ^ (n+1/2)

c)

2 ^ (n+1/2)

d)

3 ^ (n+1/2)

4.

Sum of 20 terms of 1.32 + 2.52 + 3.72 + …

a)

178090

b)

168090

c)

188090

d)

198090

5.

4. If ∑k=1ton k(k + 1) (k — I) = pn^4 + qn^3 + fn^2 + sn where p, q, t and s are constants, then the value of s is equal to

a)

-1/4

b)

-1/2

c)

1/2

d)

1/4

6.

After striking the floor a certain ball rebounds 1/4th of its height from which it has fallen. The total distance that the ball travels before coming to rest if it is gently released from a height of l20m is

a)

960m

b)

1000m

c)

1080m

d)

Indefinite

7.
If cos (x - y), cos x and cos (x —y) are in HP, then cos x sec (y / 2) is equal to
a)
+/-√2
b)
+/-1/√2
c)
+/-2
d)
None of the above
8.
The sum to n terms of the series 1/2 +3/4 + 7/8 + 15/16 + …
a)
n — 1 — 2-n
b)
1
c)
n-1 + 2-n
d)
1+2-n
9.

If a2,b, c are in GP then

a)

a2 , b2, c2 are in GP

b)

a2(b+c),b2(a+c), c2(a+b) are in GP

c)

a/b+c, b/c+a, c/a+b are in GP

d)

None of the above

10.

If log a, log b, and log c are in A.P, and also log a— log 2b, log 2b— log 3c, log 3c —log a are in A.P., then     

a)

a,b,c are in HP

b)

a,2b, 3c are in HP

c)

a,b,c are sides of triangle

d)

None of the above