(new)exam1 sample questions 12 grade(new).docx

7/27/2019 (NEW)EXAM1 SAMPLE QUESTIONS 12 grade(NEW).docx

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SAMPLE EXAM QUESTIONS-SET1

1. Find 27a if 121 a and 8d in an arithmetic sequence. A) 1962. Find common ratio q in a geometric sequence if 8115 b and

3

120 b . A)

3

1

3. How many terms are there in the finite arithmetic sequence 124,....,36,32 ? A) 244. Find 23a if 1516 a and 330 a in an arithmetic sequence. A) 65. What is the sum of first 15 terms in an arithmetic sequence if 45 a and 4611 a ?

A) 375

6. 4

3312 ? A) 16

7. Find the inverse of the function 73 xxf .


1. Find common ratio q in a geometric sequence if 241 b and2

35 b . A)

2

1

2. Find common difference d if the finite arithmetic sequence 77,....,5 has 25 terms.A) 3

3. Find the product 179 bb if 613 b in a geometric sequence. A) 364. Find 3a if 2073 aa and 8d in an arithmetic sequence. A) -65. What is the sum of first 4 terms in a geometric sequence if 181 b and 2q ? A) 2706.

3

5515 ? A)

4

45

7. What is the domain of the function 9

52

x

xf ?

8. Find the inverse of the function 58

32

x

xxf .


1. Find 4b in a geometric sequence if 181 b and2

3q . A)

4

243

2. How many three digit numbers are divisible by 9? A) 1003. Find the sum 126 aa if 169 a in an arithmetic sequence. A) -324. Is 245 a term of the arithmetic sequence if 241 a and 3d ? A) NO5. Find 1a if 4d and 42012 S in an arithmetic sequence. A) 136. What is the domain of the function 8 xxf ?


1. Which term of an arithmetic sequence is 15 if 73 a and 2d ? A) SEVENTHTERM

2. The first term of a geometric sequence is2

1and the third term is 2. What is 4b ? A) 4

3. What is the sum of 3a and 15a if 59 a for an arithmetic sequence? A) 10


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4. If6

54 b and 1219 b for a geometric sequence, what is 1211 bb ? A) 10

5. Is the expression1

3

ngeneral term of a sequence ? Explain that reasoning. A) NO

6. Find the sum 61....2519137 A) 3407. What is the domain of the function 452 xxxf ?

1. Find the limits of the following polynomial functions belowa)

6lim(3 4)x

x

c) 10 9 21

lim( 3 )x

x x x

e)1

lim(3 4)x

x

2. f: RR,2

2x-3, x < 3( )

5-x , x > 3f x

then find

a)3 3

lim ( ) lim ( )x x

f x f x

b)3

lim ( )x

f x

.

3.f: RR,

x-1, x < 2

( ) 3 , x = 2

1-x, x > 2

f x

then find

a)2 2

lim ( ) lim ( )x x

f x f x

b)2

lim ( )x

f x

2. . Find the limits of the absolute value of the following functions below.a)

2

2

| 4 |lim

2x

x

x

3. Find the sum of the limits of f at the points {-1,0,1,2,3} with respect to the graphgiven below.

2

1

2 3

-1 1m


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4. Find the limits of the following trigonometric functions given below.

a)2

3

sin( 9)lim

3x

x

x

b)

0

2 sin 2lim

1 cos2x

x

x

c)

2

30

sinlim

cos 1

5. Find the limits of the followings.a)

2 3lim

5 4x

x

x

b)

3

4

1limx

t

t

c)

2 2lim

4 2x

x

x

6. Find the following limits which are in the intermediate form.a)

16

4lim

2x

x

x

b)

2

1

5 6lim

1x

x x

x

c)

2 2

23

5 6lim

2 3x

x x x

x x

d) 22

1 4lim( )

2 4x x x

2. Find the following expressions for the indicated functions.a. 1( )(3) ?fog where ( ) 3 1f x x and ( ) 2 3g x x

1. It is given that y f x is an even and y g x is an odd function. What is 3g if 2 3 10f g and 2 3 4f g ?

(new)exam1 sample questions 12 grade(new).docx

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