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what comes next in the pattern 1,2,A,3,4,E,5,6,I,7,8,______?
O
what is the sixth term of the geometric sequence if the first term is 5, and the second term is 10?
160
the common ratio of a geometric sequence is 1/2, and the fourth term is 1/4. what is the first term of the sequence?
2
Mary wants to find the fifth term of a sequence -17,-12,-7,-2 which concept will you suggest to be used?
arithmetic sequence
this refers to the number that is being multiplied to obtain a geometric sequence
common ratio
which term of the arithmetic sequence 5,9,13,17, ... is 409
102nd term
if 7 is a rational zero of the polynomial P(x) = 2x^3 - 14x^2 + x - 7, which of the following is NOT true?
(x + 7) is a factor of P(x)
what is the 50th term of the arithmetic sequence -1,3,7,11,...?
195
what is the remainder when x^4 + 2x^2 + 4x - 3 is divided by x+2
13
how many possible real roots does the polynomial equation 4x^3 + 4x^2 - 31x + 5 = 0 have?
at most 3
which is the remainder if 2x^3 + 4x^2 - x + 7 is divided by x-1?
12
which polynomial gives a remainder of zero when divided by 3x - 2?
12x^2 + 19x - 18
in the sequence -5,-2,1,4,7 what is the common difference?
3
what is the twentieth term of the arithmetic sequence 18,15,12,...?
-39
if -1/2,1/4,-1/8,1/16 is a geometric sequence, what is the common ratio?
-1/2
what are the roots of a^2 + a - 2 = 0?
1,-2
what is the sum of the first 100 positive odd numbers?
10,000
what is the value of k so that x+5 is a factor of P(x)=x^3 + 5x^2 - kx - 20?
4
find the sum of the first six terms of a geometric sequence whose first term is 2 and common ratio is 2/3
1330/234
the volume of a rectangular prism is (2x^3 + 11x^2 + 11x - 4)cm^3 and its height is (x+4) cm. what is the area of its base?
(2x^2 + 3x -1) cm^2
the common ratio of a geometric sequence is 1/4, and the fourth term is 1/2. what is the third term of the sequence?
2
which of the following is the value of a to make 3a+1, 4a, 6a+1, ... an arithmetic sequence?
-2
if the arithmetic means are inserted between -15 and 9, find the first of these arithmetic means
-9
insert two arithmetic means between √2 and 4√2. which of the following is the first arithmetic mean?
2√2
in the geometric sequence -2, -4, -8, what is the geometric mean?
-4
in the division algorithm P(x) = Q(x) + r(x) what is the divisor?
d(x)
using synthetic division to divide 5x^3-3x^2-10 by x+3, which of the following if the correct first row of the algorithm?
3∫5-3 0-10
the volume of a rectangular solid is 750 cubic units. the width (w) is 7 units more that the height (h) and the length (l) is 1 unit more than 8 times the height
which correctly represents the width of the solid?
h+7
what is the working equation to find the dimensions of the solid?
750=h(h+7)(8h+1)
which of the following statements is NOT true?
the quotient multiplied by the dividend plus the number equals the divisor
which of the following is NOT a polynomial equation?
x^-2 + x = 0
what is the degree of the polynomial equation x=64?
1
according to rational root theorem, which of the following is a possible zero of the polynomial P(b)=6b^3-3b^2+2b-4?
1/2
find the polynomial with the roots -1 and 2
a^2 - a - 2 = 0
which of the following is the formula in finding the geometric mean?
GM=√ab
it is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.
geometric mean
what is the sum of the first twelve terms of the arithmetic sequence 1,5,9,...?
276
what is the mean between 1 and 81?
9
if three arithmetic means are inserted between 11 and 39, what is the second arithmetic mean?
18
which of the following is the arithmetic mean between 2-√3 and 4-√3
3-√3
what will be multiplied to x^2 - 6x + 2 to get 3x^3 - 17x^2 + 2?
3x+1
a ball tossed to a height of 8 meters rebounds to 1/2 its previous height. find the distance the ball has travelled when is comes to rest
24
Jose was saving for a pair of shoes. from his weekly allowance, he was able to save Php 5 on the first week, Php 9 on the second, Php 13 on the third and so on if he continued saving in this pattern and made 43 deposits, how much did Franco save?
Php 3827