ahmed07amsa ahmed07amsa
  • 14-03-2021
  • Mathematics
contestada

Write the explicit formula for an arithmetic formula whose tenth term is 75.

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kasrarategh
kasrarategh kasrarategh
  • 14-03-2021

Answer:

Many solutions including t(n) = 7n +5

Step-by-step explanation:

Explicit Formula form: t(n) = mn + b

We know that t(10) = 75

So, 75 = m(10) + b

Now there are many solutions you can come up with here to make the equation true as you have 2 undefined variables. Examples:

  1. t(n) = 7n + 5 => t(10) = 7(10) +5 => t(10) = 70 + 5 = 75
  2. t(n) = 2n + 55 => t(10) = 2(10) + 55 => t(10) = 20 + 55 = 75

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