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wolverine [178]
3 years ago
14

Consider the arithmetic sequence 13, 24, 35, ....

Mathematics
1 answer:
MArishka [77]3 years ago
8 0

Answer:

The explicit form for the sequence is: a_{n}=13+(n-1)(11)

Step-by-step explanation:

In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the <em>explicit formula</em>.

An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.

The <em>explicit formula </em>is:

a_{n}=a_{1} + (n-1)d

Where a1 is the first term, d is the common difference and an is the nth term of the sequence.

You have to subtract two consecutive terms to obtain d:

24-13= 11

35-24=11

Therefore d=11

In this case a1=13

Replacing in the formula:

a_{n}=13+(n-1)(11)

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Step-by-step explanation:

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In STU, SU =18 and TU =13. Find m
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,
horsena [70]

Answer:

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Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

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