3rd Game - General Mathematics

Arithmetic Sequence

100

Find the common difference of the sequence: 4,9,14,19,…

5

200

Give the next term of the sequence:
25,21,17,13,…25, 21, 17, 13, \ldots25,21,17,13,…

9

300

Find the 12th term of the arithmetic sequence whose first term is 7 and common difference is 3.

40

400

In an arithmetic sequence, a₁=18 and a₁₀= 63. Find the common difference.

5

500

Which term of the arithmetic sequence
8,15,22,29,… is equal to 155?

22nd term

Arithmetic Series

100

This is the sum of the terms of an arithmetic sequence.

arithmetic series

200

Find the sum:
2+4+6+8+10

30

300

Find the sum of the first 15 terms of the arithmetic sequence 3,7,11,15,…

465

400

An arithmetic series has 20 terms. Its first term is 6 and its last term is 63. Find its sum.

690

500

The sum of the first nnn terms of the sequence
5,8,11,14,… is 275. Find n.

10

Geometric Sequence

100

Find the common ratio of the sequence:
3,6,12,24,…

2

200

Give the next term of the sequence:
160,80,40,20,…

10

300

Find the sixth term of the geometric sequence whose first term is 2 and common ratio is 3.

486

400

Find the sixth term of the geometric sequence whose first term is 2 and common ratio is 3.

- 1/3

500

Which term of the geometric sequence
5,10,20,40,… is equal to 640?

8th term

Geometric Series

100

Find the sum:
1+2+4+8

15

200

Find the sum of the first five terms of the geometric series
3+6+12+24+⋯

93

300

Find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is 2.

126

400

Find the sum of the first five terms of the geometric series
81+27+9+3+⋯

121

500

Find the sum to infinity:
24+12+6+3+⋯

48

Sequences and Series in Real Life

100

A theater has 15 seats in the first row, 18 seats in the second row, and 21 seats in the third row. How many seats are in the fourth row?

24 seats

200

Maria saves ₱100 during the first week and increases her savings by ₱50 every week. How much will she save during the sixth week?

₱350

300

A worker receives ₱500 on the first day, ₱550 on the second day, and ₱600 on the third day. How much will the worker receive in total after five days?

₱3,000

400

A bacteria population starts at 200 and doubles every hour. How many bacteria will there be after five hours?

6,400 bacteria

500

A ball is dropped from a height of 64 meters. After each bounce, it reaches one-half of its previous height. What height will it reach after its fifth bounce?

2 meters

Scientific Notation and Standard Form

100

Express 5,000 in scientific notation.

5×10³

200

Write 3.2×10⁴ in standard form.

32,000

300

Express 0.0000750.0000750.000075 in scientific notation.

7.5×10^-5

400

Write 6.04×10^-6 in standard form.

0.00000604

500

Simplify and express the answer in scientific notation: 

(3×10⁵)(4×10³)

1.2×10⁹