An alternating series is an infinite series that takes the form:
∑(-1)ⁿa_n
a_n>0 for every value of n. The signs of the general terms alternate between positive and negative.
Thus from the above definition, the series given by <span>2, 3, 6, 8, . . . does not fit the definition of alternating series.</span>
Option B;
A suitable x-coefficient for a quadratic function that factors into a perfect square has to be even.
Answer:
D
Step-by-step explanation:
Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.
The best estimate is probably 4
Answer:
(b)
Step-by-step explanation:
A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.
(5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42
This matches choice B.
