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Test: Arithmetic And Geometric Progressions - 2


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40 Questions MCQ Test Business Mathematics and Logical Reasoning & Statistics | Test: Arithmetic And Geometric Progressions - 2

Test: Arithmetic And Geometric Progressions - 2 for CA Foundation 2022 is part of Business Mathematics and Logical Reasoning & Statistics preparation. The Test: Arithmetic And Geometric Progressions - 2 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Arithmetic And Geometric Progressions - 2 MCQs are made for CA Foundation 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Arithmetic And Geometric Progressions - 2 below.
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Test: Arithmetic And Geometric Progressions - 2 - Question 1

​Sum of n terms of the series 0.1 + 0.11 + 0.111 + … is

Test: Arithmetic And Geometric Progressions - 2 - Question 2

The sum of the first 20 terms of a G. P is 244 times the sum of its first 10 terms. The common ratio is

Test: Arithmetic And Geometric Progressions - 2 - Question 3

Sum of the series 1 + 3 + 9 + 27 +….is 364. The number of terms is

Test: Arithmetic And Geometric Progressions - 2 - Question 4

The product of 3 numbers in G P is 729 and the sum of squares is 819. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 5

The sum of the series 1 + 2 + 4 + 8 + .. to n term

Test: Arithmetic And Geometric Progressions - 2 - Question 6

The sum of the infinite GP 14 – 2 + 2/7 – 2/49 + … is

Test: Arithmetic And Geometric Progressions - 2 - Question 7

The sum of the infinite G. P. 1 - 1/3 + 1/9 - 1/27 +... is

Test: Arithmetic And Geometric Progressions - 2 - Question 8

The number of terms to be taken so that 1 + 2 + 4 + 8 + will be 8191 is

Detailed Solution for Test: Arithmetic And Geometric Progressions - 2 - Question 8

If you're talking about geometric series:

a = 1

r = 2/1 = 4/2 = 8/4 = 2

S(n) = a(1 - r^n) / (1 - r)

a(1 - r^n) / (1 - r) = 8191

1(1 - 2^n) / (1 - 2) = 8191

(1 - 2^n) / (-1) = 8191

1 - 2^n = 8191 * (-1)

1 - 2^n = -8191

-2^n = -8191 - 1

-2^n = -8192

2^n = 8192

n = log (base 2) of 8192

n = 13

Test: Arithmetic And Geometric Progressions - 2 - Question 9

Four geometric means between 4 and 972 are

Test: Arithmetic And Geometric Progressions - 2 - Question 10

Three numbers are in AP and their sum is 21. If 1, 5, 15 are added to them respectively, they form a G. P. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 11

The sum of 1 + 1/3 + 1/32 + 1/33 + … + 1/3 n –1 is

Detailed Solution for Test: Arithmetic And Geometric Progressions - 2 - Question 11

Test: Arithmetic And Geometric Progressions - 2 - Question 12

The sum of the infinite series 1 + 2/3 + 4/9 + .. is

*Multiple options can be correct
Test: Arithmetic And Geometric Progressions - 2 - Question 13

The sum of the first two terms of a G.P. is 5/3 and the sum to infinity of the series is 3. The common ratio is

Test: Arithmetic And Geometric Progressions - 2 - Question 14

If p, q and r are in A.P. and x, y, z are in G.P. then xq–r. y r–p. zp–q is equal to

*Multiple options can be correct
Test: Arithmetic And Geometric Progressions - 2 - Question 15

The sum of three numbers in G.P. is 70. If the two extremes by multiplied each by 4 and the mean by 5, the products are in AP. The numbers are

*Multiple options can be correct
Test: Arithmetic And Geometric Progressions - 2 - Question 16

The sum of 3 numbers in A.P. is 15. If 1, 4 and 19 be added to them respectively, the results are is G. P. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 17

Given x, y, z are in G.P. and xp = yq = zσ, then 1/p , 1/q, 1/σ are in

Test: Arithmetic And Geometric Progressions - 2 - Question 18

If the terms 2x, (x+10) and (3x+2) be in A.P., the value of x is

Test: Arithmetic And Geometric Progressions - 2 - Question 19

If A be the A.M. of two positive unequal quantities x and y and G be their G. M, then

Test: Arithmetic And Geometric Progressions - 2 - Question 20

The A.M. of two positive numbers is 40 and their G. M. is 24. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 21

Three numbers are in A.P. and their sum is 15. If 8, 6, 4 be added to them respectively, the numbers are in G.P. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 22

The sum of four numbers in G. P. is 60 and the A.M. of the 1st and the last is 18. The numbers are

Test: Arithmetic And Geometric Progressions - 2 - Question 23

A sum of Rs. 6240 is paid off in 30 instalments such that each instalment is Rs. 10 more than the proceeding installment. The value of the 1st instalment is

Test: Arithmetic And Geometric Progressions - 2 - Question 24

The sum of 1.03 + (1.03)2 + (1.03)3 + …. to n terms is

Test: Arithmetic And Geometric Progressions - 2 - Question 25

If x, y, z are in A.P. and x, y, (z + 1) are in G.P. then

Test: Arithmetic And Geometric Progressions - 2 - Question 26

The numbers x, 8, y  are in G.P. and the numbers x, y, –8 are in A.P. The value of x and y are

Test: Arithmetic And Geometric Progressions - 2 - Question 27

The nth term of the series 16, 8, 4,…. Is 1/217. The value of n is

Test: Arithmetic And Geometric Progressions - 2 - Question 28

The sum of n terms of a G.P. whose first terms 1 and the common ratio is 1/2 , is equal to 

Test: Arithmetic And Geometric Progressions - 2 - Question 29

t4 of a G.P. in x, t10 = y and t16 = z. Then

Test: Arithmetic And Geometric Progressions - 2 - Question 30

If x, y, z are in G.P., then

Test: Arithmetic And Geometric Progressions - 2 - Question 31

The sum of all odd numbers between 200 and 300 is

Test: Arithmetic And Geometric Progressions - 2 - Question 32

The sum of all natural numbers between 500 and 1000 which are divisible by 13, is

Test: Arithmetic And Geometric Progressions - 2 - Question 33

If unity is added to the sum of any number of terms of the A.P. 3, 5, 7, 9,…... the resulting sum is

Test: Arithmetic And Geometric Progressions - 2 - Question 34

The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 or 5 is

Test: Arithmetic And Geometric Progressions - 2 - Question 35

The sum of all natural numbers from 100 to 300 which are exactly divisible by 4 and 5 is

Test: Arithmetic And Geometric Progressions - 2 - Question 36

A person pays Rs. 975 by monthly instalment each less then the former by Rs. 5. The first instalment is Rs. 100. The time by which the entire amount will be paid is

Test: Arithmetic And Geometric Progressions - 2 - Question 37

A person saved Rs. 16,500 in ten years. In each year after the first year he saved Rs. 100 more than he did in the preceding year. The amount of money he saved in the 1st year was

Test: Arithmetic And Geometric Progressions - 2 - Question 38

At 10% C.I. p.a., a sum of money accumulate to Rs. 9625 in 5 years. The sum invested initially is

Test: Arithmetic And Geometric Progressions - 2 - Question 39

The population of a country was 55 crose in 2005 and is growing at 2% p.a C.I. the population is the year 2015 is estimated as

Test: Arithmetic And Geometric Progressions - 2 - Question 40

If a b c are in A.P. as well as in G.P. then –

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