Question

The sequence is defined as follows:

b(1)=−500 b(n)=b(n−1)⋅5/4​

What is the 3ʳᵈ term in the sequence?

Answer 1

The 3rd term of the sequence defined by b(n) = b(n-1) × 5/4, starting with b(1) = -500, is -781.25.

Step-by-step explanation:

To find the 3rd term of the sequence b(n) = b(n-1) × 5/4, with given first term b(1) = -500, we start by calculating the second term.

b(2) = b(1) × 5/4

= -500 × 5/4

= -625.

Now we use the second term to find the third term of the sequence:

b(3) = b(2) × 5/4

= -625 × 5/4

= -781.25.

Therefore, the 3rd term in the sequence is -781.25.