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

16, 18, 20.....72

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

14, 17, 20.....134

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

15, 19, 23.....159

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

18, 23, 28.....183

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

12, 15, 18.....72

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....210

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

12, 17, 22.....187

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

19, 22, 25.....79

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

10, 12, 14.....96

Difference =

n =

Answer:_______________

10)

How many terms are there in the following Arrithmetic Progression

7, 9, 11.....83

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 18, 20.....72

Difference = Answer: 2

n = Answer: 29

SOLUTION 1 :

Given A.P. is 16,18,20.....72

Here a = 16

d = 18 - 16

d = 2

t_n = a + (n-1)d

t_n = 72

a + (n-1)d = 72

t₂₉ = 16 + (n-1)2 = 72

= 16 + (2n- 2) = 72

= 2n + 14 = 72

= 2n = 72-14

2n = 58

n = $\frac{58}{2}$ = 29

How many terms are there in the following Arrithmetic Progression

14, 17, 20.....134

Difference = Answer: 3

n = Answer: 41

SOLUTION 1 :

Given A.P. is 14,17,20.....134

Here a = 14

d = 17 - 14

d = 3

t_n = a + (n-1)d

t_n = 134

a + (n-1)d = 134

t₄₁ = 14 + (n-1)3 = 134

= 14 + (3n- 3) = 134

= 3n + 11 = 134

= 3n = 134-11

3n = 123

n = $\frac{123}{3}$ = 41

How many terms are there in the following Arrithmetic Progression

15, 19, 23.....159

Difference = Answer: 4

n = Answer: 37

SOLUTION 1 :

Given A.P. is 15,19,23.....159

Here a = 15

d = 19 - 15

d = 4

t_n = a + (n-1)d

t_n = 159

a + (n-1)d = 159

t₃₇ = 15 + (n-1)4 = 159

= 15 + (4n- 4) = 159

= 4n + 11 = 159

= 4n = 159-11

4n = 148

n = $\frac{148}{4}$ = 37

How many terms are there in the following Arrithmetic Progression

18, 23, 28.....183

Difference = Answer: 5

n = Answer: 34

SOLUTION 1 :

Given A.P. is 18,23,28.....183

Here a = 18

d = 23 - 18

d = 5

t_n = a + (n-1)d

t_n = 183

a + (n-1)d = 183

t₃₄ = 18 + (n-1)5 = 183

= 18 + (5n- 5) = 183

= 5n + 13 = 183

= 5n = 183-13

5n = 170

n = $\frac{170}{5}$ = 34

How many terms are there in the following Arrithmetic Progression

12, 15, 18.....72

Difference = Answer: 3

n = Answer: 21

SOLUTION 1 :

Given A.P. is 12,15,18.....72

Here a = 12

d = 15 - 12

d = 3

t_n = a + (n-1)d

t_n = 72

a + (n-1)d = 72

t₂₁ = 12 + (n-1)3 = 72

= 12 + (3n- 3) = 72

= 3n + 9 = 72

= 3n = 72-9

3n = 63

n = $\frac{63}{3}$ = 21

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....210

Difference = Answer: 4

n = Answer: 49

SOLUTION 1 :

Given A.P. is 18,22,26.....210

Here a = 18

d = 22 - 18

d = 4

t_n = a + (n-1)d

t_n = 210

a + (n-1)d = 210

t₄₉ = 18 + (n-1)4 = 210

= 18 + (4n- 4) = 210

= 4n + 14 = 210

= 4n = 210-14

4n = 196

n = $\frac{196}{4}$ = 49

How many terms are there in the following Arrithmetic Progression

12, 17, 22.....187

Difference = Answer: 5

n = Answer: 36

SOLUTION 1 :

Given A.P. is 12,17,22.....187

Here a = 12

d = 17 - 12

d = 5

t_n = a + (n-1)d

t_n = 187

a + (n-1)d = 187

t₃₆ = 12 + (n-1)5 = 187

= 12 + (5n- 5) = 187

= 5n + 7 = 187

= 5n = 187-7

5n = 180

n = $\frac{180}{5}$ = 36

How many terms are there in the following Arrithmetic Progression

19, 22, 25.....79

Difference = Answer: 3

n = Answer: 21

SOLUTION 1 :

Given A.P. is 19,22,25.....79

Here a = 19

d = 22 - 19

d = 3

t_n = a + (n-1)d

t_n = 79

a + (n-1)d = 79

t₂₁ = 19 + (n-1)3 = 79

= 19 + (3n- 3) = 79

= 3n + 16 = 79

= 3n = 79-16

3n = 63

n = $\frac{63}{3}$ = 21

How many terms are there in the following Arrithmetic Progression

10, 12, 14.....96

Difference = Answer: 2

n = Answer: 44

SOLUTION 1 :

Given A.P. is 10,12,14.....96

Here a = 10

d = 12 - 10

d = 2

t_n = a + (n-1)d

t_n = 96

a + (n-1)d = 96

t₄₄ = 10 + (n-1)2 = 96

= 10 + (2n- 2) = 96

= 2n + 8 = 96

= 2n = 96-8

2n = 88

n = $\frac{88}{2}$ = 44

10)

How many terms are there in the following Arrithmetic Progression

7, 9, 11.....83

Difference = Answer: 2

n = Answer: 39

SOLUTION 1 :

Given A.P. is 7,9,11.....83

Here a = 7

d = 9 - 7

d = 2

t_n = a + (n-1)d

t_n = 83

a + (n-1)d = 83

t₃₉ = 7 + (n-1)2 = 83

= 7 + (2n- 2) = 83

= 2n + 5 = 83

= 2n = 83-5

2n = 78

n = $\frac{78}{2}$ = 39