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The nth term of the sequence 3, 10, 17, 24, ... is an + b, where a and b are constants.

Write down the values of a and b.

pls help​

1 Answer

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We are given:

The nth term of the sequence 3, 10, 17, 24, ... is an + b

To determine the values of a and b, let's examine the terms we have:

n = 1: 3 = a(1) + b

n = 2: 10 = a(2) + b

Subtracting the first equation from the second:

10 - 3 = 7 = a(2-1) = a

So a = 7

Plugging this back into the first equation:

3 = 7(1) + b

3 = 7 + b

b = -4

Therefore, the values of a and b are:

a = 7

b = -4

So the nth term of the sequence is:

an + b = 7n - 4

User Wei WANG
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