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KiRa [710]
2 years ago
5

Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50

Mathematics
1 answer:
Helen [10]2 years ago
6 0

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

A(n) = - 1 + (n - 1)(5) \\  =  - 1 + 5n - 5 \\  = 5n - 6 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

To find A(50) substitute the value of n that's 50 into the formula above

A(50) = 5(50) - 6 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  = 250 - 6 \\   \:  = 244

Hope this helps you

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