Republic of the Philippines
Department of Education
Region V - Bicol
SCHOOLS DIVISION OFFICE OF ALBAY
DARAGA NATIONAL HIGH SCHOOL
SAGPON, DARAGA, ALBAY
FIRST SUMMATIVE TEST in Mathematics 10
JUNIOR HIGH SCHOOL, 1st Quarter
Name: ________________________________________ Grade/Section: ____________ Score: ______
I. MULTIPLE CHOICE. Choose the correct answer from the given choices. Write the letter of the correct
answer in the space provided.
1. What do you call a sequence where every term after the first term is obtained by adding a constant
called the common difference?
A. Arithmetic
B. Fibonacci
C. Harmonic
D. Geometric
1. ___
2. What is the next term in the sequence: 0, -4, -8, -12?
A. -16
B. -18
C. -20
D. -24
2. ___
3. Supply what is missing to generate patterns 1, 4, __, 16, 25, 36.
A. 9
B. -9
C. 10
D. -10
3. ___
4. Given the set of numbers {3, 7,11, 15…}, what is the 10th number?
A. 37
B. 38
C. 39
D. 40
4. ___
5. What is the nth term of the sequence 2,7,12,17, …
A. 𝑎𝑛 = 𝑛 + 2
B. 𝑎𝑛 = 3𝑛
C. 𝑎𝑛 = 5𝑛 − 3
D. 𝑎𝑛 = 5𝑛 + 3
5. ___
6. What is the next term of sequence 5, 9, 13, 17, ____?
A. 20
B. 21
C. 22
D. 23
6. ___
7. What is the nth term of the sequence? 3, 7, 11, 15, 19?
A. 𝑎𝑛 = 4𝑛 + 1
B. 𝑎𝑛 = 3𝑛 + 2
C. 𝑎𝑛 = 4𝑛 − 1
D. 𝑎𝑛 = 3𝑛 + 4
7. ___
8. Given the arithmetic sequence 0, -15, -30, -45… Find the arithmetic sequence rule.
A. 𝑎𝑛 = −15𝑛 + 30
C. 𝑎𝑛 = −10𝑛 + 30
B. 𝑎𝑛 = −12𝑛 + 30
D. 𝑎𝑛 = −13𝑛 + 30
8. ___
th
9. What is the 6 term of the arithmetic sequence 4, 7, 10, 13, …?
A. 25
B. 21
C. 19
D. 16
9. ___
10. Find the 20th term of the arithmetic sequence 17, 13, 9, …
A. -59
B. -55
C. -51
D.-49
10. __
II. TRUE or FALSE: Write true if the statement is correct and false if is not. Write the correct answer in the
space provided.
11. The 27th term of the arithmetic sequence 5, 8, 11, 14... is 82.
3
12. The next term of the sequence 18, 6, 2, … is .
11. _____
12. _____
13. The sequence 9, 1, -7, -15, -23, is arithmetic.
14. If the terms of a sequence differ by a constant, we say that the sequence is
arithmetic.
15. The 10th term of an arithmetic sequence given the rule, 𝑎𝑛 = 2𝑛 − 13 is 27
13. _____
2
III. COMPUTATIONAL SKILL:
A. Find the first 3 terms given the following nth term formula.
1. 𝑎𝑛 = 3𝑛 − 2
2. 𝑎𝑛 = 5𝑛 + 4
14. _____
15. _____
3. 𝑎𝑛 = −4𝑛
4. 𝑎𝑛 =
𝑛
+5
4
B. Complete the table below.
No.
𝒂𝟏
1.
2
𝒂𝒏
d
n
5
10
nth
2.
First 5 terms
8, 12, 16, 20, 25
𝑎𝑛 = 3𝑛 + 1
3.
4.
5
-2
20
5.
9
-3
8
C. Perform what is being asked in the following problems. Show your complete solution.
1. The third term of an arithmetic sequence is 5 and the sixth term is -1. Find the twelfth term of this
sequence.
2. Find the 4th term of an arithmetic sequence 𝑎1 = 5 and the d = −4.
3. Determine the term which has the value -41 in the arithmetic sequence 4, 1, -2, -5, …
4. If the 16th term of an arithmetic sequence is 36 and the common difference is 4, find the first term.
5. Find the 15th term in the arithmetic sequence, 3k+7, 2k-5, 6k-2, …
Parent’s Name and Signature: __________________________________
Date: _____________