Answer:
The nth term for the given sequence can be written as:
Step-by-step explanation:
Notice that this arithmetic sequence is created by adding to each term a common difference of 6 units:
7 + 6 = 13
13 + 6 = 19
19 + 6 = 25
Then, using the general expression for the nth term of an arithmetic sequence of first term "
" and common difference "<em>d</em>" we can write the nth term as:
which in this case translates as:
Solution:
Equation of line perpendicular to , x=4 is
y +k=0
As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0
As, given the line perpendicular to, x =4, passes through the point (5,7).
So, y+k =0, passes through (5,7).
→ 7 +k=0
→ k= -7
So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.
Option (C) →y=7
Answer:
F.
Step-by-step explanation:
We are given a series
We can see that numerators are same
and denominators are
49 , 64 , 81 , .....
so,
7^2 , 8^2 , 9^2
We can write nth term
so, we can write as
We can use p-series test
we can compare
and we get
So, this series is convergent
this is FALSE
Answer:
t = -14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-98 = 7t
<u>Step 2: Solve for </u><em><u>t</u></em>
- Divide 7 on both sides: -14 = t
- Rewrite: t = -14
<u>Step 3: Check</u>
<em>Plug in t into the original equation to verify it's a solution.</em>
- Substitute in <em>t</em>: -98 = 7(-14)
- Multiply: -98 = -98
Here we see that -98 is equal to -98.
∴ t = -14 is the solution to the equation.
Answer:
The answer to your question is the letter B.
Step-by-step explanation:
Data
Expand
Add 2x in both sides
Simplify
Add 8 in both sides
Simplify
6x > 32
Divide both sides by 6
6x/6 > 32/6
Simplify
x > 16/3
