Write the First Six Terms of the Sequence Beginning with the Given

question 24

Multiple Choice

Write the first six terms of the sequence beginning with the given term.Then calculate the first and second differences of the sequence.State whether the sequence has a linear model,a quadratic model,or neither. ​
A₀ = 1
A_n = an _{- 1} + n
​

• A)0,1,2,-4,7,-11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Neither
• B)1,-2,4,-7,11,-16 First differences: -1,1,-1,1
• Second differences: 1,2,3,4,5
• Neither
• C)0,1,2,4,7,11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Linear
• D)0,1,2,4,7,11 First differences: 1,1,2,3,4
• Second differences: -1,1,-1,1
• Quadratic
• E)1,2,4,7,11,16 First differences: 1,2,3,4,5
• Second differences: 1,1,1,1
• Quadratic

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Definitions:

Solute Concentration

The measure of the amount of solute dissolved in a solvent or solution.

Kidney Medulla

The kidney medulla is the innermost part of the kidney, composed of renal pyramids, and is responsible for concentrating urine and maintaining water and salt balance in the body.

Vasa Recta

refers to the series of straight blood vessels in the kidney that serve a crucial role in the process of urine concentration.

Countercurrent Mechanism

A mechanism of exchange in which fluids flow in opposite directions, enhancing the transfer of heat or solutes, often found in biological systems like kidneys and fish gills.