ayomidehenry89 ayomidehenry89
  • 20-10-2019
  • Mathematics
contestada

If the first term of an AP is equal to one-half of the common difference, d, find the 8th term of the AP.

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jimrgrant1 jimrgrant1
  • 20-10-2019

Answer:

7.5d

Step-by-step explanation:

The n th 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

Here a₁ = [tex]\frac{1}{2}[/tex] d, thus

[tex]a_{8}[/tex] = [tex]\frac{1}{2}[/tex] d + 7d = 7 [tex]\frac{1}{2}[/tex] d = 7.5d

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