Question

this is shens homework. he has spilt tea on some of the questions and answers!

question 1 the position-to-term rule of a sequence is:
\\(\text{term} = 2 \times \text{position number} + \text{stain}\\)

work out the first three terms of the sequence.
answer 1st term = 9, 2nd term = stain, 3rd term = stain

question 2 the position-to-term rule of a sequence is: \\(\text{term} = \text{stain} \times \text{position number}^2\\)

work out the first three terms of the sequence.
answer 1st term = stain, 2nd term = 20, 3rd term = stain

work out the missing answers for shen. explain how you worked them out.

Explanation:

Solve Question 1

$$
LATEXBLOCK0
$$

Solve Question 2

$$
LATEXBLOCK1
$$

Answer:

Question 1

• The position-to-term rule is: \(\text{term} = 2 \times \text{position number} + 7\)
• 1st term = \(9\)
• 2nd term = \(11\)
• 3rd term = \(13\)

Question 2

• The position-to-term rule is: \(\text{term} = \text{position number}^2 \times 5\)
• 1st term = \(5\)
• 2nd term = \(20\)
• 3rd term = \(45\)