Understanding Sequences and Terms

What is the sum of the first 6 terms of the sequence 2, 6, 18, …?

• 512

• 728

• 640

• 850

What best describes synthetic division?

• A shortcut method of dividing polynomials

• A method for finding roots of equations

• A technique for factoring quadratic expressions

• A process for simplifying fractions

• 162

• 486

• 54

• 81

The geometric mean between 4 and 16 is:

• 6

• 8

• 10

• 12

Which is the constant in this expression @@x^3+5x^2+2x+1@@?

• 1

• 2

• 5

• 0

Bea deposits ₱1,000 in a bank account that doubles every year. How much will she have after 5 years?

• ₱32,000

• ₱64,000

• ₱16,000

• ₱128,000

• 3

• 4

• 5

• 2

Find the next two terms of the geometric sequence: 2, 6, 18, . . .

• 54, 162

• 36, 108

• 24, 72

• 12, 36

What is the general term of a geometric sequence with first term 5 and common ratio 2?

• @@a_n = 5 imes 2^{n-1}@@

• @@a_n = 5 + 2(n-1)@@

• @@a_n = 5 imes n@@

• @@a_n = 5 imes 2^n@@

What is the remainder when @@x^3+5x^2+2x+1@@ is divided by @@x + 1@@?

• 0

• 1

• 2

• -1