The length of a rectangle is 98 inches. The ratio of the length to the width is 4:3. Find the width.
2 answers:
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<span>For this case we have the following data:
(1, 24), (2, 24.38), (3, 24.76), (4, 25.14)
We observe that, we have an arithmetic sequence.
That is, we have:
</span>
<span>Where,
an + 1: next term
an: previous term
d: common difference.
So we have to clear d:
</span>
<span> Substituting any values of the table (coordinate y) we have:
</span>
<span>
Answer:
a. The common difference is 0.38</span>
(1, 24), (2, 24.38), (3, 24.76), (4, 25.14)
We observe that, we have an arithmetic sequence.
That is, we have:
</span>
<span>Where,
an + 1: next term
an: previous term
d: common difference.
So we have to clear d:
</span>
<span> Substituting any values of the table (coordinate y) we have:
</span>
Answer:
a. The common difference is 0.38</span>
A geometric sequence has a common ratio.
The formula for the nth term is
where,
- an = nth term of the sequence,
- a = first term of the sequence and
- r = common ratio
<u>Given</u> -
- A geometric sequence 2, -4, 8, ...
<u>To find</u> -
- the 12th term of the given geometric sequence
<u>Solution</u> -
A.T.Q, a = 2 and r = -2
<u>Hence, the 12th term is -4096</u>.