Rivka Thorpe

2020-12-03

1. Is the sequence $0.3,1.2,2.1,3,...$ arithmetic? If so find the common difference.

2. An arithmetic sequence has the first term${a}_{1}=-4$ and common difference $d=-\frac{4}{3}$ . What is the ${6}^{th}$ term?

3. Write a recursive formula for the arithmetic sequence$-2,-\frac{7}{2},-5,-\frac{13}{2}...$ and then find the ${22}^{nd}$ term.

4. Write an explicit formula for the arithmetic sequence$15.6,15,14.4,13.8,...$ and then find the ${32}^{nd}$ term.

5. Is the sequence$-2,-1,-\frac{1}{2},-\frac{1}{4},...$ geometric? If so find the common ratio. If not, explain why.

2. An arithmetic sequence has the first term

3. Write a recursive formula for the arithmetic sequence

4. Write an explicit formula for the arithmetic sequence

5. Is the sequence

Bella

Skilled2020-12-04Added 81 answers

Step 1

Given:

${a}_{1}=-4$

$d=-\frac{4}{3}$

${a}^{6}=?$

Step 2

We know in A.P

${t}_{n}=a+(n-1)d$

Where a is the first term, d the common difference

${t}_{6}=-4+(6-1)(-\frac{4}{3})$

$=-4+(5)(-\frac{4}{3})$

$=-4-\frac{20}{3}$

$=\frac{-12-20}{3}$

$=\frac{-32}{3}$

Given:

Step 2

We know in A.P

Where a is the first term, d the common difference

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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