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, 19, 22.....91

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

10, 15, 20.....160

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

20, 25, 30.....210

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 21, 26.....231

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

13, 18, 23.....108

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

7, 11, 15.....87

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

12, 14, 16.....68

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

8, 13, 18.....173

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

15, 18, 21.....153

Difference =

n =

Answer:_______________

10)

How many terms are there in the following Arrithmetic Progression

19, 23, 27.....195

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 19, 22.....91

Difference = Answer: 3

n = Answer: 26

SOLUTION 1 :

Given A.P. is 16,19,22.....91

Here a = 16

d = 19 - 16

d = 3

t_n = a + (n-1)d

t_n = 91

a + (n-1)d = 91

t₂₆ = 16 + (n-1)3 = 91

= 16 + (3n- 3) = 91

= 3n + 13 = 91

= 3n = 91-13

3n = 78

n = $\frac{78}{3}$ = 26

How many terms are there in the following Arrithmetic Progression

10, 15, 20.....160

Difference = Answer: 5

n = Answer: 31

SOLUTION 1 :

Given A.P. is 10,15,20.....160

Here a = 10

d = 15 - 10

d = 5

t_n = a + (n-1)d

t_n = 160

a + (n-1)d = 160

t₃₁ = 10 + (n-1)5 = 160

= 10 + (5n- 5) = 160

= 5n + 5 = 160

= 5n = 160-5

5n = 155

n = $\frac{155}{5}$ = 31

How many terms are there in the following Arrithmetic Progression

20, 25, 30.....210

Difference = Answer: 5

n = Answer: 39

SOLUTION 1 :

Given A.P. is 20,25,30.....210

Here a = 20

d = 25 - 20

d = 5

t_n = a + (n-1)d

t_n = 210

a + (n-1)d = 210

t₃₉ = 20 + (n-1)5 = 210

= 20 + (5n- 5) = 210

= 5n + 15 = 210

= 5n = 210-15

5n = 195

n = $\frac{195}{5}$ = 39

How many terms are there in the following Arrithmetic Progression

16, 21, 26.....231

Difference = Answer: 5

n = Answer: 44

SOLUTION 1 :

Given A.P. is 16,21,26.....231

Here a = 16

d = 21 - 16

d = 5

t_n = a + (n-1)d

t_n = 231

a + (n-1)d = 231

t₄₄ = 16 + (n-1)5 = 231

= 16 + (5n- 5) = 231

= 5n + 11 = 231

= 5n = 231-11

5n = 220

n = $\frac{220}{5}$ = 44

How many terms are there in the following Arrithmetic Progression

13, 18, 23.....108

Difference = Answer: 5

n = Answer: 20

SOLUTION 1 :

Given A.P. is 13,18,23.....108

Here a = 13

d = 18 - 13

d = 5

t_n = a + (n-1)d

t_n = 108

a + (n-1)d = 108

t₂₀ = 13 + (n-1)5 = 108

= 13 + (5n- 5) = 108

= 5n + 8 = 108

= 5n = 108-8

5n = 100

n = $\frac{100}{5}$ = 20

How many terms are there in the following Arrithmetic Progression

7, 11, 15.....87

Difference = Answer: 4

n = Answer: 21

SOLUTION 1 :

Given A.P. is 7,11,15.....87

Here a = 7

d = 11 - 7

d = 4

t_n = a + (n-1)d

t_n = 87

a + (n-1)d = 87

t₂₁ = 7 + (n-1)4 = 87

= 7 + (4n- 4) = 87

= 4n + 3 = 87

= 4n = 87-3

4n = 84

n = $\frac{84}{4}$ = 21

How many terms are there in the following Arrithmetic Progression

12, 14, 16.....68

Difference = Answer: 2

n = Answer: 29

SOLUTION 1 :

Given A.P. is 12,14,16.....68

Here a = 12

d = 14 - 12

d = 2

t_n = a + (n-1)d

t_n = 68

a + (n-1)d = 68

t₂₉ = 12 + (n-1)2 = 68

= 12 + (2n- 2) = 68

= 2n + 10 = 68

= 2n = 68-10

2n = 58

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

How many terms are there in the following Arrithmetic Progression

8, 13, 18.....173

Difference = Answer: 5

n = Answer: 34

SOLUTION 1 :

Given A.P. is 8,13,18.....173

Here a = 8

d = 13 - 8

d = 5

t_n = a + (n-1)d

t_n = 173

a + (n-1)d = 173

t₃₄ = 8 + (n-1)5 = 173

= 8 + (5n- 5) = 173

= 5n + 3 = 173

= 5n = 173-3

5n = 170

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

How many terms are there in the following Arrithmetic Progression

15, 18, 21.....153

Difference = Answer: 3

n = Answer: 47

SOLUTION 1 :

Given A.P. is 15,18,21.....153

Here a = 15

d = 18 - 15

d = 3

t_n = a + (n-1)d

t_n = 153

a + (n-1)d = 153

t₄₇ = 15 + (n-1)3 = 153

= 15 + (3n- 3) = 153

= 3n + 12 = 153

= 3n = 153-12

3n = 141

n = $\frac{141}{3}$ = 47

10)

How many terms are there in the following Arrithmetic Progression

19, 23, 27.....195

Difference = Answer: 4

n = Answer: 45

SOLUTION 1 :

Given A.P. is 19,23,27.....195

Here a = 19

d = 23 - 19

d = 4

t_n = a + (n-1)d

t_n = 195

a + (n-1)d = 195

t₄₅ = 19 + (n-1)4 = 195

= 19 + (4n- 4) = 195

= 4n + 15 = 195

= 4n = 195-15

4n = 180

n = $\frac{180}{4}$ = 45