What is the next term in the given pattern 0, 1, 4, 9, __, …?

Find the first 5 terms of the sequence given the nth term a_n = n (n+1).

What is the nth term for the given sequence -2, -5, -8, -11, -14…?

Which pattern generates for the sequence 2, 4, 8, 16, 32, …?

In the sequence 

1/2x+2,   x+3,    3/2x+4,    2x+5, what is the next term?

Which of the following is NOT an arithmetic sequence?

In the arithmetic sequence 4, 1, -2, -5, … , which term is -29?

In the arithmetic sequence 4, 1, -2, -5, … , which term is -29?

If the 2nd term of an arithmetic sequence is 4 and the 4th term is -4, what is the 10th 

    term?

How many numbers between 5 and 301 are divisible by 3?

Find the value of n when the arithmetic mean of 3n + 1 and 4n +9 is 2n + 11. 

If a₁=9 and the common difference is 7, find the sum of the first 10 terms.

If 3 arithmetic means are inserted between -10 and 10, what is the third mean?

The first term of an arithmetic sequence is 8 and the last term is 34. If the common difference is 2 find the sum

A movie theater has 25 seats in the first row, 26 seats on the second row, 27 seats on the third row.  If each successive row contains one additional row, how many seats are there if there are 20 rows in all?

Which of the following is a geometric sequence?

A sequence in which each term is obtained by multiplying the preceding term by a common ratio is

Find the formula for the nth term of the given geometric sequence 3, 6, 12, 24,…

A finite geometric sequence is a list of numbers with an ending where each term is multiplied by a constant ratio while an infinite geometric sequence is _____.

How many terms are there in the geometric sequence 6, 18, 54, …,118098?

What are the steps in finding the indicated term given the geometric sequence?

 i.    Find the indicated term using the formula

ii.   Identify what is given

iii.  Find the common ratio.

Joshua is on the volleyball team of his school, but he has poor time management skills. His mother said that he will not be allowed to play if he fails in his quizzes in any of his subject. On his first quiz in math, he earned a 92, then he earned an 88 and an 86 on his next two quizzes. If his grades continue at this rate, what will be his quiz on the 8th week? Will he be allowed to play?

Which of the following sequence below represent arithmetic and geometric?

11, 14, 17, 20, …

4, 8, 16, 32, …

-10, -7,  -4, -1, …

2, -2, 2, -2, …

If the absolute value of the common ratio is less than one, the sequence is __.  

I - finite geometric sequence

II - infinite geometric sequence

If three geometric means are inserted between 4 and 

14, find the third of these geometric means.

If three geometricmeans are inserted between 4 and , findthe third of these geometric means.

What information would you use to identify the general term or nth termof the geometric sequence? 

  i. Common ratio        ii.Formula for the nth term          iii. First term                       iv. Last term

There are 140 seats in the first row, 180 seats in the second row, 220 seats in the third row, and 260 seats in the fourth row. If the pattern continues, what is the total number of seats in the next row?

Donalene has an online business and sells ₱1500.00 worth of products during the first week if it increases her weekly sales by 500.00 each week. Find the total sales at the end of 12 weeks.

In 2015, the population of a small school in Marikina is 420. If the population increases by 2% each year, estimate the population in 2022.

John dropped a ball from the top of 60 feet building.  The ball hits the ground and bounces exactly 40% of its previous height.  How many feet does it travel before it stops

Given the division statement:  8x3+4x2-31=(2x-3)(4x2+8x+12)+0, what is

  (4x2+8x+12)? 

Which of the following shows the quotient and remainder when –x5+1 is divided by x+1? Use synthetic division?

The dividend of a polynomial division is 13x - 2x3 + x4 – 6.  The quotient is x3 + 8x – 3 – 4x2.  Determine the divisor using synthetic division.

Find the remainder when  x3-3x2+4x-11 is divided by x+1

The expression x3-kx2 +3x - 5 leaves a remainder of -7 when divided by x-2. Find the value of k.

Use the factor theorem to determine whether (x – 2) is a factor of x5 + 8x3 + 2

Which of the following is the factored form of x3+3x2- 10x -24?

Show that  x+3 is a factor of polynomial equation x3-7x+6=0 by arranging the following steps. 

Find the value of x in x+3=0.

Evaluate the polynomial equation.

Substitute the value of x in the polynomial equation.

Use the factor theorem to conclude if it is a factor or not.

One of the roots of x (x3+x2-4x+4) is 0. How many other roots are there?

If P(-3) = 0, which of the following statement is true about P(x)?

Which set consists the possible rational roots of x4 + 8x3 + 4x2 – 8x -6 = 0?

Find the other root of x3 – x2 -8x +12 =0, if 2 is a root of multiplicity 2 of this equation.

A polynomial equation whose roots are {3, 4 and -5} is _______

A rectangular pool of the Celestra family has an area of 6x2+7x -3 square meters. If the width measures (3x-1) m, find the height.

Hezekiah has x2 – 4x + 3 =0 different marbles. He wants to give the equal number of marble to his x friends. If he has 5 friends, how many marbles each one received?

Brian earns (15x2 + 16x – 15) pesos for working (5x – 3) days.  How much is his daily salary?

Create a polynomial equation of the lowest degree with integral coefficients whose roots are 

{±1,±2,±i}

The monthly water consumption of a certain family in Marikina is 140 kilowatts. If the total charge per kilowatt is (x + 6) pesos, which equation will represent the monthly water bill for the family?