Sequences and Series Test

Result

Sequences and Series Test - 38

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Weekly Quiz Competition

Question 1
4 / -1

The number of terms of the A.P. 3,7,11,15.... to be taken so that the sum is 406 is

A
5

B
10

C
12

D
14

Solution
Question 2
4 / -1

There are 15 terms in an arithmetic progression. Its first term is 5 and their sum is 390. The middle term is

A
23

B
26

C
29

D
32

Solution
Question 3
4 / -1

If the sum of the 10 terms of an A.P. is 4 times to the sum of its 5 terms, then the ratio of first term and common difference is

A
1 : 2

B
2 : 1

C
2 : 3

D
3 : 2

Solution
Question 4
4 / -1

Three number are in A.P such that their sum is 18 and sum of their squares is 158. The greatest number among them is

A
10

B
11

C
12

D
None of these

Solution
Question 5
4 / -1

If A be an arithmetic mean between two numbers and S be the sum of n arithmetic means between the same numbers, then

A
S = nA

B
A = nS

C
A = S

D
None of these

Solution
Question 6
4 / -1

The mean of the series a,a + nd, a + 2nd is

A
a + (n - 1) d

B
a + nd

C
a + (n + 1)d

D
None of these

Solution
Question 7
4 / -1

If f (x + y, x - y) = xy then the arithmetic mean of f (x,y) and f (y,x) is

A
x

B
y

C
0

D
1

Solution
Question 8
4 / -1

If log 2, log(2ⁿ – 1) and log(2ⁿ + 3) are in A.P. then n =

A
5/2

B
log₂ 5

C
log₃ 5

D
3/2

Solution
Question 9
4 / -1

If the sides of a right angled triangle are in A.P then the sides are proportional to

A
1 : 2 : 3

B
2 : 3 : 4

C
3 : 4 : 5

D
4 : 5 : 6

Solution
Question 10
4 / -1

Three numbers are in A.P. whose sum is 33 and product is 792, then the smallest number from these numbers is

A
4

B
8

C
11

D
14

Solution