Summative Test in Mathematics First Quarter

The elements of a sequence are denoted by a₁, a₂, a₃,...a_n-1, a_n and its domain is {1,2,3,...., (n-1), n}. Describe the domain of the sequence.

• It is the set of integers

• It is the set of whole numbers

• It is the set of real numbers

• It is the set of natural numbers

Which of the following statements is TRUE about the sequence defined by a_n = n² + 1?

• The sequence is a linear sequence whose first term is 2.

• The sequence is a linear sequence whose last term is 26.

• The sequence is a quadratic sequence whose first term is 1.

• The sequence is a quadratic sequence whose first term is 2.

• I, II and III

• I and II

• II and III

• I and III

Which of the following rule describes the sequence 2, 4, 8, 16, 32, 64, ...?

• a_n = n+4

• a_n = 4n-1

• a_n = 2ⁿ

• a_n = 2^n-1

What are the first 5 terms generated by the sequence a_n = 4n-3

• 1, 5, 9, 13, 17

• 1, 5, 9, 12, 17

• 1, 5, 10, 16, 23

• 1, 3, 5, 7, 9

Which of the following is the nth term of an arithmetic sequence whose a₁ = 3 and common difference is 4?

• a_n= n + 4

• a_n = 4n - 1

• a_n = 1 - 4n

• a_n = 4ⁿ

Which of the arithmetic sequence below has a term value of 212?

• 1, 3, 5, ...

• -3, 2, 7, ...

• 6, 12, 24, ...

• -2, 3, 8, ...

In the sequence 75, 90, 105, 120, 135. What are the arithmetic means between 75 and 135?

• 90, 105, 120

• 90, 120

• 105, 120

• 105

What is the general term of this sequence whose first term is -2 and a_n = a_n-1 + 4?

• a_n = 4n + 2

• a_n = 4n - 6

• a_n = 2n + 4

• a_n = -4n + 2

An arithmetic series has the data below.

I. First term: a₁ = 32

II. Last term: a_n = 344

III. Sum of the first nth terms: S_n = 7520

11. 11. Which of the given data must be used to find the number of terms (n)?

• I and II only

• I and III only

• II and III only

• I, II and III