Sequences and Series Test

Result

Sequences and Series Test - 39

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Weekly Quiz Competition

Question 1
4 / -1

If a, b, c, d, e, f are in A.P., then the value of e – c will be

A
2(c – a)

B
2(f – d)

C
2(d – c)

D
d – c

Solution
Question 2
4 / -1

The four arithmetic means between 3 and 23 are

A
5,9,11,13

B
7,11,15,19

C
5,11,15,22

D
7,15,19,21

Solution
Question 3
4 / -1

A
A G.P

B
An A.P

C
A H.P

D
Both a G.P and a H.P

Solution
Question 4
4 / -1

Let α andβ are the roots of the equation pχ² + qχ + r = 0, p ≠ 0. If p, q and r are in AP and

A
√61/9

B
2√17/9

C
√34/9

D
2√13/9

Solution
Question 5
4 / -1

In a triangle, the lengths of two larger sides are 10 cm and 9 cm. If the angles of the triangle are in AP, then the length of the third side is

A
√5 - √6

B
√5 + √6

C
√5 ± √6

D
5 ± √6

Solution
Question 6
4 / -1

Let a₁ , a₂ , a₃..., a₁₀₀ be an arithmetic progression with a₁ = 3 and

A
3 or 9

B
2 or 4

C
4 or 16

D
None of these

Solution
Question 7
4 / -1

A man saves RS 200 in each of the first three months of his service. In each of the subsequent months, his saving increases by RS 40 more than the saving of immediately previous month. His total saving from the start of service will be RS 11040 after

A
19 months

B
20 months

C
21 months

D
18 months

Solution
Question 8
4 / -1

If sum of the series

A
S²

B
S²/(2S + 1)

C
2S/(S² - 1)

D
S²/(2S - 1)

Solution
Question 9
4 / -1

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals

A
1/2(1 - √5)

B
1/2(√5)

C
√5

D
1/2(√5 - 1)

Solution
Question 10
4 / -1

If a₁, a₂, a₃,...are in a harmonic progression with a₁ = 5 and a₂₀ = 25. The least positive integer n for which a_n < 0 is

A
22

B
23

C
24

D
25

Solution