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.....76

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

15, 18, 21.....90

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

7, 10, 13.....85

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

8, 12, 16.....168

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

11, 16, 21.....181

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 21, 26.....131

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

7, 10, 13.....118

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

10, 14, 18.....154

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

8, 11, 14.....140

Difference =

n =

Answer:_______________

10)

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....190

Difference =

n =

Answer:_______________

How many terms are there in the following Arrithmetic Progression

16, 18, 20.....76

Difference = Answer: 2

n = Answer: 31

SOLUTION 1 :

Given A.P. is 16,18,20.....76

Here a = 16

d = 18 - 16

d = 2

t_n = a + (n-1)d

t_n = 76

a + (n-1)d = 76

t₃₁ = 16 + (n-1)2 = 76

= 16 + (2n- 2) = 76

= 2n + 14 = 76

= 2n = 76-14

2n = 62

n = $\frac{62}{2}$ = 31

How many terms are there in the following Arrithmetic Progression

15, 18, 21.....90

Difference = Answer: 3

n = Answer: 26

SOLUTION 1 :

Given A.P. is 15,18,21.....90

Here a = 15

d = 18 - 15

d = 3

t_n = a + (n-1)d

t_n = 90

a + (n-1)d = 90

t₂₆ = 15 + (n-1)3 = 90

= 15 + (3n- 3) = 90

= 3n + 12 = 90

= 3n = 90-12

3n = 78

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

How many terms are there in the following Arrithmetic Progression

7, 10, 13.....85

Difference = Answer: 3

n = Answer: 27

SOLUTION 1 :

Given A.P. is 7,10,13.....85

Here a = 7

d = 10 - 7

d = 3

t_n = a + (n-1)d

t_n = 85

a + (n-1)d = 85

t₂₇ = 7 + (n-1)3 = 85

= 7 + (3n- 3) = 85

= 3n + 4 = 85

= 3n = 85-4

3n = 81

n = $\frac{81}{3}$ = 27

How many terms are there in the following Arrithmetic Progression

8, 12, 16.....168

Difference = Answer: 4

n = Answer: 41

SOLUTION 1 :

Given A.P. is 8,12,16.....168

Here a = 8

d = 12 - 8

d = 4

t_n = a + (n-1)d

t_n = 168

a + (n-1)d = 168

t₄₁ = 8 + (n-1)4 = 168

= 8 + (4n- 4) = 168

= 4n + 4 = 168

= 4n = 168-4

4n = 164

n = $\frac{164}{4}$ = 41

How many terms are there in the following Arrithmetic Progression

11, 16, 21.....181

Difference = Answer: 5

n = Answer: 35

SOLUTION 1 :

Given A.P. is 11,16,21.....181

Here a = 11

d = 16 - 11

d = 5

t_n = a + (n-1)d

t_n = 181

a + (n-1)d = 181

t₃₅ = 11 + (n-1)5 = 181

= 11 + (5n- 5) = 181

= 5n + 6 = 181

= 5n = 181-6

5n = 175

n = $\frac{175}{5}$ = 35

How many terms are there in the following Arrithmetic Progression

16, 21, 26.....131

Difference = Answer: 5

n = Answer: 24

SOLUTION 1 :

Given A.P. is 16,21,26.....131

Here a = 16

d = 21 - 16

d = 5

t_n = a + (n-1)d

t_n = 131

a + (n-1)d = 131

t₂₄ = 16 + (n-1)5 = 131

= 16 + (5n- 5) = 131

= 5n + 11 = 131

= 5n = 131-11

5n = 120

n = $\frac{120}{5}$ = 24

How many terms are there in the following Arrithmetic Progression

7, 10, 13.....118

Difference = Answer: 3

n = Answer: 38

SOLUTION 1 :

Given A.P. is 7,10,13.....118

Here a = 7

d = 10 - 7

d = 3

t_n = a + (n-1)d

t_n = 118

a + (n-1)d = 118

t₃₈ = 7 + (n-1)3 = 118

= 7 + (3n- 3) = 118

= 3n + 4 = 118

= 3n = 118-4

3n = 114

n = $\frac{114}{3}$ = 38

How many terms are there in the following Arrithmetic Progression

10, 14, 18.....154

Difference = Answer: 4

n = Answer: 37

SOLUTION 1 :

Given A.P. is 10,14,18.....154

Here a = 10

d = 14 - 10

d = 4

t_n = a + (n-1)d

t_n = 154

a + (n-1)d = 154

t₃₇ = 10 + (n-1)4 = 154

= 10 + (4n- 4) = 154

= 4n + 6 = 154

= 4n = 154-6

4n = 148

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

How many terms are there in the following Arrithmetic Progression

8, 11, 14.....140

Difference = Answer: 3

n = Answer: 45

SOLUTION 1 :

Given A.P. is 8,11,14.....140

Here a = 8

d = 11 - 8

d = 3

t_n = a + (n-1)d

t_n = 140

a + (n-1)d = 140

t₄₅ = 8 + (n-1)3 = 140

= 8 + (3n- 3) = 140

= 3n + 5 = 140

= 3n = 140-5

3n = 135

n = $\frac{135}{3}$ = 45

10)

How many terms are there in the following Arrithmetic Progression

18, 22, 26.....190

Difference = Answer: 4

n = Answer: 44

SOLUTION 1 :

Given A.P. is 18,22,26.....190

Here a = 18

d = 22 - 18

d = 4

t_n = a + (n-1)d

t_n = 190

a + (n-1)d = 190

t₄₄ = 18 + (n-1)4 = 190

= 18 + (4n- 4) = 190

= 4n + 14 = 190

= 4n = 190-14

4n = 176

n = $\frac{176}{4}$ = 44