Question

Each term in the sequence below is 2 less than 1/2 the previous term. What term of the sequence will be the first term to be a negative number?

256, 126, 61, 28.5, ....
Plz explain

Answer 1

8 th term

Explanation:

Continuing the sequence from the last term given (term 4 )

a₅ = 0.5 × 28.5 - 2 = 14.25 - 2 = 12.25

a₆ = 0.5 × 12.25 - 2 = 6.125 - 2 = 4.125

a₇ = 0.5 × 4.125 - 2 = 2.125

a₈ = 0.5 × 2.125 - 2 = 1.0625 - 2 = - 0.9375 ← negative

The first term to be negative is term 8