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3 years ago

6 numbers form an arithmetic sequence with a common difference of 4. THe sum of these numbers equals 12. What are the 6 numbers.

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer: See explanation

Step-by-step explanation:

We will use the formula for an arithmetic sequence which will be:

a + (n - 1)d

where a = unknown

n = 6

d = 4

We then slot them into the formula

a + (6 - 1)4 = 12

a + 5(4) = 12

a + 20 = 12

a = 12 - 20

a = -8

The 6 numbers are

1st term = -8

2nd term = -8 + 4 = -4

3rd term = -4 + 4 = 0

4th term = 0 + 4 = 4

5th term = 4 + 4 = 8

6th term = 8 + 4 = 12

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--------------------------------------------------------------------------------------------------
$\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}$
--------------------------------------------------------------------------------------------------

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