Question

16, 13, 10 is this sequence arithmetic or geometric and determine the common difference/ ratio in simplest form

Answer 1

It is arithmetic progression

Explanation:

If wwe see, the numbers are going down by 3 each time, therfore the common difference is 3

Answer 2

Hii!

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`\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}`

1. This sequence is arithmetic

2. The common ratio is 3.

`\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation.}}}\circ\leftharpoonup`

`\bullet` Difference between arithmetic and geometric sequences

`\twoheadrightarrow\sf Arithmetic\quad sequences` - In arithmetic sequences, we add the same amount to obtain the next term.

`\twoheadrightarrow\sf Geometric\quad sequences` - In geometric sequences we multiply times the same amount to obtain the next term.

`\bullet` Since we add the same amount to get the next term, the given sequence is arithmetic

`\twoheadrightarrow\sf Common\;difference:-3`

`\bullet` In the given sequence we add -3, or subtract 3, to obtain the next term

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Hope that this helped! Best wishes.

`\stackrel\ast{\textsl{Reach far. Aim high. Dream big.}}`

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