Free Printable Mathematics (Progressions and Trig.)

1.

Find the second term of the progression: $x_n=\frac{\left(-1\right)^{1+n}}{3^n}$

a)

$-\frac{1}{9}$

b)

$\frac{1}{9}$

c)

$\frac{1}{3}$

d)

$-\frac{1}{3}$

2.

Find the 6th term of the sequence if the sum of the first n terms is equal to $S_n=2^n+1$

a)

$65$

b)

$64$

c)

$32$

d)

$48$

3.

Find 20+10+5+...

a)

20

b)

40

c)

1

d)

8

4.

Find the common ratio of the geometric sequence $b_1=2;\ b_6=64$

a)

1/4

b)

32

c)

1

d)

2

5.

Find the product of the first five terms of the geometric sequence if $b_3=\sqrt[]{7}$

a)

49

b)

$35\sqrt[]{7}$

c)

$49\sqrt[]{7}$

d)

$5\sqrt[]{7}$

e)

35

6.

Find $b_1$ in geometric sequence if $q=3\ ;\ S_5=484$

a)

4

b)

8

c)

12

d)

16

e)

10

7.

If $a_2=10;\ a_7=55$ find $d$

a)

12

b)

10

c)

9

d)

5

8.

If $a_2=10;\ a_7=55$ find $d$

a)

2

b)

4

c)

9

d)

5

9.

The number of terms in a finite geometric sequence is even. The sum of terms in even places is 30 and the common ratio is 3.

Find the sum of all terms of the sequence

a)

40

b)

20

c)

50

d)

90

10.

Find the sum of all natural numbers that are divisible by 4 and do not exceed 400

a)

22000

b)

20000

c)

20200

d)

2200

e)

21000

11.

a)

A

b)

B

c)

C

d)

D

e)

E

12.

a)

0.5

b)

1.6

c)

1

d)

4/5

e)

2.8

13.

a)

A

b)

B

c)

C

d)

D

e)

E

14.

a)

A

b)

B

c)

C

d)

D

e)

E

15.

a)

A

b)

B

c)

C

d)

D

e)

E

16.

a)

A

b)

B

c)

C

d)

D

e)

E

17.

a)

10

b)

8

c)

5

d)

1

e)

7

18.

a)

216

b)

64

c)

116

d)

128

e)

100

19.

a)

24

b)

12

c)

6

d)

10

e)

9

20.

a)

144

b)

122

c)

268

d)

464

e)

384

21.

a)

1400

b)

34

c)

3400

d)

6800

e)

68

22.

a)

9 km

b)

12 km

c)

18 km

d)

27 km

e)

9 km

Mathematics (Progressions and Trig.)

Total questions: 22

Worksheet time: 27mins

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