Answer:
-3125
Explanation:
To find the value of a₆, we can use the given recursive formula and substitute the values for a₁ and the preceding terms until we reach the desired term.
Given:
a₁ = 1
aₙ = -5aₙ₋₁
Let's calculate the values step by step:
a₂ = -5a₁ = -5(1) = -5
a₃ = -5a₂ = -5(-5) = 25
a₄ = -5a₃ = -5(25) = -125
a₅ = -5a₄ = -5(-125) = 625
a₆ = -5a₅ = -5(625) = -3125
Therefore, the value of a₆ is -3125.
Hope this helps!