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Andrews [41]
4 years ago
5

Find a28 in the arithmetic sequence: 5.8, 3.5, 1.2, -1.1,

Mathematics
1 answer:
KATRIN_1 [288]4 years ago
5 0

Answer:

-56.3

Step-by-step explanation:

We don't have to much guessing because it tells us it is arithmetic which means it has a common difference.

That is a term minus it's previous will be the same.

3.5-5.8=-2.3

1.2-3.5=-2.3

-1.1-1.2=-2.3

In general:

a_n-a_{n-1}=-2.3 with a_1=5.8 if you wanted the recursive form.

You can also find the explicit form which would be more helpful for our task of finding the 28th term.

a_n=a_1+d(n-1) is the explicit form where d is the common difference and a_1 is the first term.

Inputting -2.3 for d and 5.8 for a_1:

a_n=5.8+-2.3(n-1)

Now the 28th term or a_{28} can be found by replacing n with 28:

a_{28}=5.8+-2.3(28-1)

a_{28}=5.8+-2.3(27)

a_{28}=-56.3

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