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Series

Total questions: 23

Worksheet time: 2hrs 44mins

Name

Class

Date

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

-11

-8

Is the 1 + 2 + 4 + 7+..., a geometric series?

Yes

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

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

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

19,683

6,561

2,187

729

What is the sum of the first 8 terms of the sequence 3, 6, 9, 12, …?

108

129

153

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

1,600

18,235

18,475

19,125

Given the sequence -2, 4, -8, 16, …, find

S_{10}

680

681

682

683

Which of the following is MOST reactive?

Magnesium

Lead

Tin

Copper

Zinc

10.

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

11.

Determine if the series converges or diverges

Converges

Diverges

12.

Evaluate the infinite series described:

20/3

No Sum

21/5

4/3

13.

Given the sequence

a_n=2n^3

find

S_5.

(a)

14.

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

a_n=7-9(n-1)

a_n=-9+7(n-1)

a_n=-83+9(n-1)

a_n=9-83(n-1)

15.

Which of the series below is CONVERGENT?

a₁=4, 1.5a_n-1, n≥2

a_n=-n²- 8n +106

a_n = 5/10ⁿ

a_n = 5n + 6

16.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

20, 100, 500, 2500

5, 20, 80, 320

4, 20, 100, 500

4, 9, 14, 19

17.

What kind of circuit is this?

Series

Consecutive

Parallel

Training

18.

Bron Ayro is offered P30,000 as starting salary for a job, with a raise of P2,000 at the end of each year of outstanding performance. If he maintains continuous outstanding performance, what will his salary be at the end of 6 years?

(a)

19.

A certain type of bacteria sample doubles its number every hour. If there are 40 bacteria samples at the start, how many bacteria samples will there be at the end of 5 hours?

(a)

20.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

$50

$35

$320

$250

21.

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

25 cm

84.04 cm

53.7956 cm

59.04 cm

22.

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. Which expression represents how much money will she receive on her 5^th birthday?

$ 2(3)(5)

$ 2(3)(4)

$ 2(3⁴)

$ 2(3⁵)

23.

The series is

The King: Eternal Monarch

Penthouse

Ipin Upin

Goblin

100 %

Series

Total questions: 23

Worksheet time: 2hrs 44mins

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