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emmainna [20.7K]
3 years ago
15

Given the sequence (-3, 2, 7, 12,....), find a(25). *HINT: first determine if the

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

a(25) = 117

Step-by-step explanation:

First look at how the given terms behave:

From -3 to 2 is a jump of 5;

From 2 to 7 is a jump of 5;

From 7 to 12 is a jump of 5

Since there is a common difference, this is an arithmetic sequence.

The general formula for an arithmetic sequence is a(n) = a(1) + 5(n - 1).

Thus, a(25) = -3 + 5(25 - 1), or a(25) = -3 + 120, or a(25) = 117

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