Next term = 10
You add 3 to each term to get the next
1+3 = 4
4+3 = 7
7+3 = 10
etc etc
The domain of the sequence is 1,2,3,4,... basically the set of positive whole numbers. This is known as the set of natural numbers or counting numbers. We don't include 0. The domain is the set of possible inputs for 'n' in the formula mentioned below.
The range is the sequence of values shown.
The formula to generate the sequence is
an = 3n-2
as shown by these steps below
an = a1 + d(n-1)
an = 1 + 3(n-1)
an = 1+3n-3
an = 3n-2
To get any term you want, plug in a whole number for n. For example, plug in n = 4 to get...
an = 3n-2
a4 = 3*4-2
a4 = 12-2
a4 = 10
Showing that the fourth term is 10 as found earlier above.
Answer:
x = 13°
Step-by-step explanation:
Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.
Let's find the measure of angle A and angle B.
m<A = 85° (vertical angles are congruent)
m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)
Thus:
x + A + B = 180° (sum of interior angles of a ∆)
x + 85° + 82° = 180° (substitution)
x + 167 = 180
x = 180 - 167 (Subtraction property of equality)
x = 13°
Answer:
180 different combinations
Step-by-step explanation:
To find the number of different combinations possible, We first find the number of possibilities for each place, and then multiply all possibilities.
Number of possibilities for president: 5
Number of possibilities for vice-president: 6
Number of possibilities for secretary: 2
Number of possibilities for treasurer: 3
Number of different combinations: 5*6*2*3 = 180
(We can form 180 different groups of 1 president, 1 vice-president, 1 secretary and 1 treasurer)
The area is 1089 square feet, so the area of the garden is greater than <span>1,000 square feet.</span>
= 6√(80x^7) - 2x √(40x^5)
= 24x^3√(5x) - 4x^3√(10x)
Answer
B. 24x^3√(5x) - 4x^3√(10x)
