Sasi Math (Revised for 1024)

Scroll:Sequences and series >> Arithmetric Progressions >> saq (4223)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

How many terms are there in the following Arrithmetic Progression

20, 25, 30.....145

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

19, 23, 27.....187

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....154

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

14, 16, 18.....82

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

10, 12, 14.....62

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 18, 20.....66

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

7, 11, 15.....111

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

15, 19, 23.....115

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 19, 22.....115

Difference =

n =

Answer:_______________

10)

How many terms are there in the following Arrithmetic Progression

20, 22, 24.....74

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

20, 25, 30.....145

Difference = Answer: 5

n = Answer: 26

SOLUTION 1 :

Given A.P. is 20,25,30.....145

Here a = 20

d = 25 - 20

d = 5

t_n = a + (n-1)d

t_n = 145

a + (n-1)d = 145

t₂₆ = 20 + (n-1)5 = 145

= 20 + (5n- 5) = 145

= 5n + 15 = 145

= 5n = 145-15

5n = 130

n = $\frac{130}{5}$ = 26

How many terms are there in the following Arrithmetic Progression

19, 23, 27.....187

Difference = Answer: 4

n = Answer: 43

SOLUTION 1 :

Given A.P. is 19,23,27.....187

Here a = 19

d = 23 - 19

d = 4

t_n = a + (n-1)d

t_n = 187

a + (n-1)d = 187

t₄₃ = 19 + (n-1)4 = 187

= 19 + (4n- 4) = 187

= 4n + 15 = 187

= 4n = 187-15

4n = 172

n = $\frac{172}{4}$ = 43

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....154

Difference = Answer: 4

n = Answer: 35

SOLUTION 1 :

Given A.P. is 18,22,26.....154

Here a = 18

d = 22 - 18

d = 4

t_n = a + (n-1)d

t_n = 154

a + (n-1)d = 154

t₃₅ = 18 + (n-1)4 = 154

= 18 + (4n- 4) = 154

= 4n + 14 = 154

= 4n = 154-14

4n = 140

n = $\frac{140}{4}$ = 35

How many terms are there in the following Arrithmetic Progression

14, 16, 18.....82

Difference = Answer: 2

n = Answer: 35

SOLUTION 1 :

Given A.P. is 14,16,18.....82

Here a = 14

d = 16 - 14

d = 2

t_n = a + (n-1)d

t_n = 82

a + (n-1)d = 82

t₃₅ = 14 + (n-1)2 = 82

= 14 + (2n- 2) = 82

= 2n + 12 = 82

= 2n = 82-12

2n = 70

n = $\frac{70}{2}$ = 35

How many terms are there in the following Arrithmetic Progression

10, 12, 14.....62

Difference = Answer: 2

n = Answer: 27

SOLUTION 1 :

Given A.P. is 10,12,14.....62

Here a = 10

d = 12 - 10

d = 2

t_n = a + (n-1)d

t_n = 62

a + (n-1)d = 62

t₂₇ = 10 + (n-1)2 = 62

= 10 + (2n- 2) = 62

= 2n + 8 = 62

= 2n = 62-8

2n = 54

n = $\frac{54}{2}$ = 27

How many terms are there in the following Arrithmetic Progression

16, 18, 20.....66

Difference = Answer: 2

n = Answer: 26

SOLUTION 1 :

Given A.P. is 16,18,20.....66

Here a = 16

d = 18 - 16

d = 2

t_n = a + (n-1)d

t_n = 66

a + (n-1)d = 66

t₂₆ = 16 + (n-1)2 = 66

= 16 + (2n- 2) = 66

= 2n + 14 = 66

= 2n = 66-14

2n = 52

n = $\frac{52}{2}$ = 26

How many terms are there in the following Arrithmetic Progression

7, 11, 15.....111

Difference = Answer: 4

n = Answer: 27

SOLUTION 1 :

Given A.P. is 7,11,15.....111

Here a = 7

d = 11 - 7

d = 4

t_n = a + (n-1)d

t_n = 111

a + (n-1)d = 111

t₂₇ = 7 + (n-1)4 = 111

= 7 + (4n- 4) = 111

= 4n + 3 = 111

= 4n = 111-3

4n = 108

n = $\frac{108}{4}$ = 27

How many terms are there in the following Arrithmetic Progression

15, 19, 23.....115

Difference = Answer: 4

n = Answer: 26

SOLUTION 1 :

Given A.P. is 15,19,23.....115

Here a = 15

d = 19 - 15

d = 4

t_n = a + (n-1)d

t_n = 115

a + (n-1)d = 115

t₂₆ = 15 + (n-1)4 = 115

= 15 + (4n- 4) = 115

= 4n + 11 = 115

= 4n = 115-11

4n = 104

n = $\frac{104}{4}$ = 26

How many terms are there in the following Arrithmetic Progression

16, 19, 22.....115

Difference = Answer: 3

n = Answer: 34

SOLUTION 1 :

Given A.P. is 16,19,22.....115

Here a = 16

d = 19 - 16

d = 3

t_n = a + (n-1)d

t_n = 115

a + (n-1)d = 115

t₃₄ = 16 + (n-1)3 = 115

= 16 + (3n- 3) = 115

= 3n + 13 = 115

= 3n = 115-13

3n = 102

n = $\frac{102}{3}$ = 34

10)

How many terms are there in the following Arrithmetic Progression

20, 22, 24.....74

Difference = Answer: 2

n = Answer: 28

SOLUTION 1 :

Given A.P. is 20,22,24.....74

Here a = 20

d = 22 - 20

d = 2

t_n = a + (n-1)d

t_n = 74

a + (n-1)d = 74

t₂₈ = 20 + (n-1)2 = 74

= 20 + (2n- 2) = 74

= 2n + 18 = 74

= 2n = 74-18

2n = 56

n = $\frac{56}{2}$ = 28