The common difference is 6
Step-by-step explanation:
Given sequence is:
7, 13, 19, 25....
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,
Hence,
The common difference is 6
Keywords: Arithmetic sequence, Common difference
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Answer:
General Formulas and Concepts:
<u>Calculus</u>
- Antiderivatives
- Integration Constant C
- [Int Rule] Reverse Power Rule:
- Integration Property 1:
- Integration Property 2:
Step-by-step explanation:
<u>Step 1: Define</u>
f"(x) = x² + sin(x)
Condition f'(0) = 2
Condition f(0) = 4
<u>Step 2: Integrate Pt. 1</u>
- Set up:
- Substitute:
- Rewrite [Int Property 2]:
- Integrate [Reverse Power Rule/Trig]:
<u>Step 3: Find f'(x)</u>
<em>Use the given condition to find the differential equation.</em>
- Substitute:
- Substitute:
- Evaluate:
- Solve:
- Define:
<u>Step 4: Integrate Pt. 2</u>
- Set up:
- Substitute:
- Rewrite [Int Property 2]:
- Rewrite [Int Property 1]:
- Integrate {Reverse Power Rule/Trig]:
- Simplify:
<u>Step 5: Find f(x)</u>
<em>Use the given condition to find the equation.</em>
- Substitute:
- Substitute:
- Evaluate:
- Solve:
- Define:
It is parallel because if you graph the points on graph paper they come out parallel.
Perhaps you mean "slope-intercept" form. Solve for y and reduce the fractions.
.. -8x -6 = 2y . . . . . . . . add 2y-6
.. y = -4x -3 . . . . . . . . . divide by 2
Your line in slope-intercept form is
.. y = -4x -3
(-4) to the 4th power is 256
-4 to the 9th power is 262144