Question

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What did Ebright learn in the county science fair?​

Answer 1

Answer:

Given:-

First term of AP, a₁ = -2

Common difference, d = -2

To Find:-

Second term of AP, a₂ ?

And third term of AP, a₃ ?

Solution :-

It's given that first term and common difference is equal to -2 and -2. And for second term of AP, number of terms(ₙ) will be equal to 2.

So as we know that:-

⇒ aₙ = a + (n-1)d

⇒ a₂ = a + (n-1)d

⇒ a₂ = -2 + (2-1)-2

⇒ a₂ = -2 -2

⇒ a₂ = -4

Therefore, the second term(a₂) of AP is -4.

Now, for third term, number of terms(ₙ) will be equal to 3 And common difference and first term will remain same.

⇒ a₃ = a + 2d

⇒ a₃ = -2 + 2(-2)

⇒ a₃ = -2 - 4

⇒ a₃ = -6

Therefore, the third term(a₃) of AP is -6.

• NOTE:- here we could use the aₙ=a+(n-1)d formula too, for finding the third term.