Question

A₁ =3 a₂ = 7 d = ? a51-?

Answer 1

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Answer 2

To find the value of "d" and "a₅₁," we can use the arithmetic sequence formula:

aₙ = a₁ + (n - 1) * d

where: aₙ is the nth term, a₁ is the first term, n is the position of the term, d is the common difference.

Given: a₁ = 3 a₂ = 7

Using these values, we can find the common difference "d":

a₂ = a₁ + (2 - 1) * d 7 = 3 + d d = 4

Now that we have the value of "d," we can find "a₅₁":

a₅₁ = a₁ + (51 - 1) * d a₅₁ = 3 + 50 * 4 a₅₁ = 3 + 200 a₅₁ = 203

Therefore, the common difference "d" is 4, and the value of "a₅₁" is 203.