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fenix001 [56]
3 years ago
13

Find an explicit formula for f(n) f(1)=−62 f(n)=f(n−1)+5 ​

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

  • f(n) = 5n - 67

Step-by-step explanation:

<u>Given</u>

  • f(1)=−62
  • f(n)=f(n−1)+5

<u>Property of AP</u>

  • aₙ = a₁ + (n-1)d
  • a₁ = -62, d = 5

<u>Applying same on the given function</u>

  • f(n) = -62 + (n-1)*5 = -62 + 5n - 5 = 5n - 67
  • f(n) = 5n - 67
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