1. Which of the following sequences are arithmetic?
For those sequences that are arithmetic, identify
d and write an expression for an, in terms of n, the
term number.
I. 100, 98, 96, 94, . . .
II.
64, 32, 16, 8, ...
III. 2¹+1, 22+1, 23 +1,24 + 1,...
IV.
3 13 17 7
4'12'12'4
.....
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barackodam 2 weeks ago
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The arithmetic sequence from the collection is I

an = 100 +( n + 1) 2

What is an arithmetic sequence?

For an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference 'd'.

The nth term of an arithmetic sequence is expressed as;

Thus, the arithmetic sequences are given as follows:

  • 100, 98, 96, 94, . . . d = 2

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

The nth term is given as;

an = 100 +( n + 1) 2

Thus, the arithmetic sequence from the collection is I

Learn more about arithmetic sequences here:

https://brainacademy.pro/question/6561461

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