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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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