Answered

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The first term of an arithmetic sequence is –12 and the ninth
term is 16.
Calculate the value of the common difference.

Sagot :

Answer:

d = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 16 , then

- 12 + 8d = 16 ( add 12 to both sides )

8d = 28 ( divide both sides by 8 )

d = [tex]\frac{28}{8}[/tex] = [tex]\frac{7}{2}[/tex]

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