Question

Find the first 4 terms of the recursively defined sequence. a₁ = 3, a₂ = 4, aₙ₊₁= aₙ + aₙ₋₁ a₃=........... a₄=.............

Answer 1

To find the first 4 terms of the recursively defined sequence, we can use the formula aₙ₊₁ = aₙ + aₙ₋₁. By plugging in the given values, we find that a₃ = 7 and a₄ = 11.

Step-by-step explanation:

To find the first 4 terms of the recursively defined sequence, first, we know that the first term, a₁, is 3 and the second term, a₂, is 4. The formula for the recursive relationship is aₙ₊₁ = aₙ + aₙ₋₁. Now we can calculate the next terms.

Using the formula, we can find that a₃ = a₂ + a₁ = 4 + 3 = 7.

Using the same formula, we can find that a₄ = a₃ + a₂ = 7 + 4 = 11.