VERY EASY
Which statement best distinguishes a sequence from a series?
a. A series has no rule.
b. A sequence is an ordered list, while a series is the sum of terms.
c. A sequence adds numbers, while a series multiplies numbers.
d. A sequence has infinite terms, while a series has finite terms.
b. A sequence is an ordered list, while a series is the sum of terms.
How many meters are in 1 kilometer?
1000
What is the sum of the geometric series 3+6+12+24?
45
Why does compound interest accumulate money faster over time than simple interest?
A. Simple interest rates are always lower.
B. Simple interest applies only to short-term loans.
C. Compound interest yields payout installments weekly instead of annually.
D. Compound interest calculates earnings on both the initial principal and accrued interest.
D. Compound interest calculates earnings on both the initial principal and accrued interest.
A science experiment requires 0.75 kilograms of sodium chloride. If the school laboratory scale measures in grams, how many grams should the student weigh out?
750 g.
In sigma notation, what mathematical operation is represented by the symbol __ ?
Addition
Which metric unit is most appropriate for measuring the mass of a standard tablet or capsule of medicine?
milligram
If the sum of the first terms of an arithmetic series is given by S_n = n^2+2n , what is the sum of the first 5 terms
35
Convert a distance of 3.5 kilometers into meters
3500m.
A movie theater has 15 seats in the first row, 18 seats in the second row, and continues to add 3 seats for each subsequent row. What is the total seating capacity of the first 12 rows?
378 seats
Which of the following expressions represents an arithmetic series?
a. 2,4,6,8,10
b. 3,9,27,81
c. 2+4+6+8+10
d.3+9+27+81
c. 2+4+6+8+10
What term refers to the total accumulated value of an investment, consisting of both the principal amount and earned interest over time?
Accumulated Value
What is the expanded form of the expression summation of 3i from i=1 to 4
3+6+9+12
A container holds 2,500 milliliters of drinking water. How many liters does this container hold?
2.5 L.
Find the sum of the infinite geometric series: 16 +8 + 4 + 2 + ...
32
What is a money borrowed from a bank or lender that you must pay back over time, usually with added interest?
Loan
When money is invested in an account with compounding interest, what type of mathematical sequence governs the growth of the account balance each year?
Geometric
A student deposits ₱1,000 into a savings bank account that pays 5% simple interest per year. How much total interest will the student earn after 3 years?
P150
If a Grade 11 student saves ₱50 in the first week, ₱100 in the second week, and increases the savings by ₱50 each week, how much money will they save in the 10th week alone?
P500
To fund a school project, a student borrows ₱12,000 to be paid back in equal periodic monthly installments over 1 year with a fixed annual simple interest rate of 10%. What is the exact monthly payment required?
P1,100
What is the formula used to calculate the sum of the first terms of an arithmetic series ?
- S_n = n/2(a_1 + a_n)
- S_n = n/2(2a_1 + (n-1)*d)
Which of the following is an imperial unit of measurement commonly used to measure human height?
A. Meter
B. Centimeter
C. Foot
D. Kilometer
C. Foot
Evaluate the sum represented by the sigma notation: summation of (2k+1) from k=1 to 3
15
Which unit conversion factor is correct when converting length from inches to centimeters?
1 inch = 2.54 cm
An arithmetic series has a first term a_1 = 5 and a common difference d=4. If the sum of the first n terms is S_n = 230, what is the total number of terms (n) in this series?
10