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Charra [1.4K]
3 years ago
14

Find the 17th term in the sequence for which a1 = 10 and d = -3.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

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

In this question:

a_{1} = 10, d = -3

17th term:

a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38

So the correct answer is:

d. -38

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