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Mamont248 [21]
3 years ago
5

If a1 = 8 and an An-1 + 2 then find the value of a4.

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

9514 1404 393

Answer:

  a4 = 14

Step-by-step explanation:

Use the recursive definition repeatedly.

  a1 = 8

  a2 = a1 +2 = 8 +2 = 10

  a3 = 10 +2 = 12

  a4 = 12 +2 = 14

_____

The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...

  an = 8 + 2(n-1)

Then a4 is ...

  a4 = 8 +2(4 -1) = 8+6

  a4 = 14

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