Find a17 of the sequence {-10,10,30,-}
Answer (1)
Answer:a₁₇ = 310Step-by-step explanation:We are given a sequence:{-10, 10, 30, ...}, and we are to find the 17th term (a₁₇).Step 1: Identify the pattern.Given terms:a₁ = -10a₂ = 10a₃ = 30Let’s look at the differences between the terms:a₂ - a₁ = 10 - (-10) = 20a₃ - a₂ = 30 - 10 = 20So, this is an arithmetic sequence with:First term (a₁) = -10Common difference (d) = 20Step 2: Use the arithmetic sequence formula:a_n = a_1 + (n - 1)dSubstitute:a_{17} = -10 + (17 - 1) \cdot 20 = -10 + 16 \cdot 20 = -10 + 320 = 310
