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P.1 Identify arithmetic and geometric sequences X76
Mika's Bakery is getting more and more orders for blackberry pies. The bakers made 169
blackberry pies in October, 196 blackberry pies in November, 225 blackberry pies in
December, and 256 blackberry pies in January. What kind of sequence is this?
arithmetic
geometric
neither
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TaeKwonDoIsDead TaeKwonDoIsDead · Answer 1 · 2020-03-15T18:13:53+01:00

Answer:

Neither

Step-by-step explanation:

Arithmetic Sequence has a common difference. You can add a "unique" number to each term to get the next term. Example:

2, 4, 6, 8, ...

Here you add 2 to get next term.

Also,

10, 20, 30, ...

Here you add 10 to get next term.

Geometric Sequence has a common ratio. You can multiply a "unique" number to each term to get the next term. Example:

2, 4, 8, 16, ...

Here you multiply each term by 2 to get next term.

Also,

5, 25, 125, ...

Here, you multiply each term by 5 to get next term.

Now, lets look at the sequence given, it is:

169, 196, 225, 256, ...

Lets check for common difference.

You add 27 to get 2nd term.

You add 29 to get 3rd term.

You add 31 to get 4th term.

So, NOT Arithmetic Sequence.

Also, if we divide next term by previous, we don't get a "unique" common ratio.

So, NOT Geometric Sequence.

So, we conclude, the sequence is NEITHER arithmetic nor geometric.