harmonic sequence 1. find the next two terms of the arithmetic sequence 8,16,24,32 in their harmonic form
Answer (1)
Answer:pa brainliest po plss To find the next two terms of the arithmetic sequence in harmonic form, follow these steps:--- Given Arithmetic Sequence:8, 16, 24, 32--- Step 1: Convert each term into its reciprocal(That’s how harmonic sequences are formed — reciprocals of an arithmetic sequence.)\frac{1}{8}, \frac{1}{16}, \frac{1}{24}, \frac{1}{32}---➕ Step 2: Find the common difference in the reciprocalsLet's convert each to a decimal for easier handling:We can see the common difference is not constant, so it's not arithmetic in the reciprocal form — which is expected.But since the original sequence is arithmetic, we can extend the sequence and then take reciprocals of the new terms.---➕ Step 3: Add the next two terms in the original arithmetic sequenceGiven:Common difference Next term after 32 = 32 + 8 = 40Next term = 40 + 8 = 48Now the full sequence becomes:8, 16, 24, 32, 40, 48--- Step 4: Take the reciprocals of the new terms---✅ Final Answer (Next two terms in harmonic form):1/40, 1/48
