Free Printable 11A -ALFAROOQ

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11A -ALFAROOQ

Total questions: 20

Worksheet time: 2hrs 44mins

Name

Class

Date

Find the first 6 terms of the sequence.

13, 19, 25, 31, 37, 43

7, 13, 19, 25, 31, 37

1, 7, 13, 19, 25, 31

7, 12, 17, 22, 27, 32

Determine whether the sequence converges or diverges. If it converges, give the limit.

Diverges

Converges to 1

Converges to 0

Use the formula S_n to find the sum of the first five terms of the geometric sequence.

2/3

Find the sum of the geometric series.

248

124

120

240

Which sequence is arithmetic?

4, 8, 16, 32, 64, ...

4, 6, 10, 12, 16, ...

4, 1, -2, -5, -8, ...

4, 2, 1, 1/2, 1/4, ...

Find the 22nd term of the following sequence:
5, 8, 11, ...

Find the missing terms of the arithmetic sequence:
145, ___, ___, ___, 205

160, 175, 190

165, 185, 195

155, 165, 175

190, 175, 160

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

1,600

18,235

18,475

19,125

Write the explicit formula for the geometric sequence.

a_n = 4(3)^n-1

a_n = 3(4)^n-1

a_n = -4(3)^n-1

a_n = 3(-4)^n-1

10.

Write the nth term formula: 5 + 11 + 17 + 23 + … + 35

t(n) = 5 + 6(n – 1)

t(n) = 5(6)^n-1

t(n) = 5 + 6n

t(n) = -1 + 6(n - 1)

11.

Which expression is equivalent to the summation given:

19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7

19 + 18 + 17 + 16 + 15 + 14 + 13

20 - (1 + 2 + 3 + 4 + 5 + 6 + 7)

7 ( 20 - 1)

12.

What is the fourth term of the sequence defined by

a₁ = 3,

a_n = a_n-1 – 7

–1

–6

–18

–10

13.

$\sum_{k=1}^{\infty}\left(\frac{2}{5}\right)^k$ Find the sum

$\frac{2}{5}$

$\frac{2}{3}$

$\infty$

14.

A display of cans on a grocery shelf consists of 20 cans on the bottom, 18 cans in the next row, 16 cans in the next row and so on in an arithmetic sequence, until the top row has 4 cans.

How many rows are there on the display?

7 rows

8 rows

9 rows

10 rows

15.

Write the nth term formula: 5 + 11 + 17 + 23 + … + 35

t(n) = 5 + 6(n – 1)

t(n) = 5(6)^n-1

t(n) = 5 + 6n

t(n) = -1 + 6(n - 1)

16.

Find the sum: 2 + 6 + 18 + 54 + ….for the first 14 terms

4,782,968

1,594,323

2,391,484

17.

Identify the common difference.
97, 86, 75, 64, ...

-11

-8

18.

Write the recursive formula for 4, 8, 12....

a_n=a_n-1-7

a_n=a_n-1-4

a_n=a_n-1+3

a_n=a_n-1+4

19.

Find the 22nd term of the following sequence:
5, 8, 11, ...

20.

Find S_n for the given series:
a₁=22
d=-8
n=21

1911

-1449

-2436

-1218

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11A -ALFAROOQ

Total questions: 20

Worksheet time: 2hrs 44mins

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