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

15, 17, 19.....103

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

13, 18, 23.....178

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

9, 14, 19.....239

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

20, 22, 24.....116

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

13, 17, 21.....181

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

17, 22, 27.....127

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

8, 10, 12.....100

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

18, 23, 28.....113

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

9, 11, 13.....59

Difference =

n =

Answer:_______________

10)

How many terms are there in the following Arrithmetic Progression

8, 13, 18.....143

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

15, 17, 19.....103

Difference = Answer: 2

n = Answer: 45

SOLUTION 1 :

Given A.P. is 15,17,19.....103

Here a = 15

d = 17 - 15

d = 2

t_n = a + (n-1)d

t_n = 103

a + (n-1)d = 103

t₄₅ = 15 + (n-1)2 = 103

= 15 + (2n- 2) = 103

= 2n + 13 = 103

= 2n = 103-13

2n = 90

n = $\frac{90}{2}$ = 45

How many terms are there in the following Arrithmetic Progression

13, 18, 23.....178

Difference = Answer: 5

n = Answer: 34

SOLUTION 1 :

Given A.P. is 13,18,23.....178

Here a = 13

d = 18 - 13

d = 5

t_n = a + (n-1)d

t_n = 178

a + (n-1)d = 178

t₃₄ = 13 + (n-1)5 = 178

= 13 + (5n- 5) = 178

= 5n + 8 = 178

= 5n = 178-8

5n = 170

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

How many terms are there in the following Arrithmetic Progression

9, 14, 19.....239

Difference = Answer: 5

n = Answer: 47

SOLUTION 1 :

Given A.P. is 9,14,19.....239

Here a = 9

d = 14 - 9

d = 5

t_n = a + (n-1)d

t_n = 239

a + (n-1)d = 239

t₄₇ = 9 + (n-1)5 = 239

= 9 + (5n- 5) = 239

= 5n + 4 = 239

= 5n = 239-4

5n = 235

n = $\frac{235}{5}$ = 47

How many terms are there in the following Arrithmetic Progression

20, 22, 24.....116

Difference = Answer: 2

n = Answer: 49

SOLUTION 1 :

Given A.P. is 20,22,24.....116

Here a = 20

d = 22 - 20

d = 2

t_n = a + (n-1)d

t_n = 116

a + (n-1)d = 116

t₄₉ = 20 + (n-1)2 = 116

= 20 + (2n- 2) = 116

= 2n + 18 = 116

= 2n = 116-18

2n = 98

n = $\frac{98}{2}$ = 49

How many terms are there in the following Arrithmetic Progression

13, 17, 21.....181

Difference = Answer: 4

n = Answer: 43

SOLUTION 1 :

Given A.P. is 13,17,21.....181

Here a = 13

d = 17 - 13

d = 4

t_n = a + (n-1)d

t_n = 181

a + (n-1)d = 181

t₄₃ = 13 + (n-1)4 = 181

= 13 + (4n- 4) = 181

= 4n + 9 = 181

= 4n = 181-9

4n = 172

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

How many terms are there in the following Arrithmetic Progression

17, 22, 27.....127

Difference = Answer: 5

n = Answer: 23

SOLUTION 1 :

Given A.P. is 17,22,27.....127

Here a = 17

d = 22 - 17

d = 5

t_n = a + (n-1)d

t_n = 127

a + (n-1)d = 127

t₂₃ = 17 + (n-1)5 = 127

= 17 + (5n- 5) = 127

= 5n + 12 = 127

= 5n = 127-12

5n = 115

n = $\frac{115}{5}$ = 23

How many terms are there in the following Arrithmetic Progression

8, 10, 12.....100

Difference = Answer: 2

n = Answer: 47

SOLUTION 1 :

Given A.P. is 8,10,12.....100

Here a = 8

d = 10 - 8

d = 2

t_n = a + (n-1)d

t_n = 100

a + (n-1)d = 100

t₄₇ = 8 + (n-1)2 = 100

= 8 + (2n- 2) = 100

= 2n + 6 = 100

= 2n = 100-6

2n = 94

n = $\frac{94}{2}$ = 47

How many terms are there in the following Arrithmetic Progression

18, 23, 28.....113

Difference = Answer: 5

n = Answer: 20

SOLUTION 1 :

Given A.P. is 18,23,28.....113

Here a = 18

d = 23 - 18

d = 5

t_n = a + (n-1)d

t_n = 113

a + (n-1)d = 113

t₂₀ = 18 + (n-1)5 = 113

= 18 + (5n- 5) = 113

= 5n + 13 = 113

= 5n = 113-13

5n = 100

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

How many terms are there in the following Arrithmetic Progression

9, 11, 13.....59

Difference = Answer: 2

n = Answer: 26

SOLUTION 1 :

Given A.P. is 9,11,13.....59

Here a = 9

d = 11 - 9

d = 2

t_n = a + (n-1)d

t_n = 59

a + (n-1)d = 59

t₂₆ = 9 + (n-1)2 = 59

= 9 + (2n- 2) = 59

= 2n + 7 = 59

= 2n = 59-7

2n = 52

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

10)

How many terms are there in the following Arrithmetic Progression

8, 13, 18.....143

Difference = Answer: 5

n = Answer: 28

SOLUTION 1 :

Given A.P. is 8,13,18.....143

Here a = 8

d = 13 - 8

d = 5

t_n = a + (n-1)d

t_n = 143

a + (n-1)d = 143

t₂₈ = 8 + (n-1)5 = 143

= 8 + (5n- 5) = 143

= 5n + 3 = 143

= 5n = 143-3

5n = 140

n = $\frac{140}{5}$ = 28