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If the 20th term is -40 and your 28th term is -73, what will be the first term

1 Answer

6 votes

Answer:

The first term will be 38.375

Explanation:

aₙ = a₁ + (n - 1) * d

a₂₀ = -40

a₂₈ = -73

-40 = a₁ + 19d

-73 = a₁ + 27d

When we have two similar equations with two unknowns, we can subtract them to get an answer.

-40 = a₁ + 19d --> -40 = a₁ + 19d

-(-73 = a₁ + 27d) --> 73 = -a₁ - 27d

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33 = -8d

Solve for d by dividing by -8

d = -4.125

Now plug d into one of the original equations to solve for a₁

-40 = a₁ + 19(-4.125)

-40 = a₁ - 78.375

a₁ = 38.375

User Ryan Coolwebs
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