what are the next two terms in the sequence -16, 4, -1, 1/4

Answer: fifth term = -1/16Sixth term = 1/256Step-by-step explanation:The given sequence is a geometric progression. This is because the ratio of two consecutive terms is constant.We will apply the formula for determining the nth term of a geometric progression series.Tn = ar^n-1Where Tn = value of the nth term of the geometric seriesa = The first term of the series.r = common ratio(ratio of a term to a consecutive previous term)n = number of terms in the seriesFrom the in information given,a = -16r = 4/-16 = -1/4 The next 2 terms are the 5th and 6th terms.T5 = -16 × -1/4^(5-1)T5 = -16 × (-1/4)^4T5 = -16 × 1/256 = -1/16The 6th term would be the 5th term × the common ratio. It becomesT6 = -1/16 ×-1/4 = 1/256