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Home » Thus, the minimum value of $ f(x) $ is: - go-checkin.com

Thus, the minimum value of $ f(x) $ is: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 So, \( x = \frac{4 + 8}{4} = 3 \) or \( x = \frac{4 - 8}{4} = -1 \).

📌 #### \( x = 3 \) or \( x = -1 \)

📌 A sequence is defined by the recursive formula \( a_1 = 3 \) and \( a_{n+1} = 2a_n + 1 \). What is the 5th term of the sequence?

📌 Start with \( a_1 = 3 \).

📌 Calculate the next terms:

📌 \( a_2 = 2 \times 3 + 1 = 7 \)

📌 \( a_3 = 2 \times 7 + 1 = 15 \)

📌 \( a_4 = 2 \times 15 + 1 = 31 \)

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Discriminant = \( 49 + 2640 = 2689 \), which is not a perfect square →...
Correction: Assume typo; try with Sₙ = 98 → n = 7. But original says 1...
Alternatively, perhaps question is valid only for non-integer n, but n...
Therefore, no integer solution. But likely intended:
Try n = 8: 4×(10 + 21) = 124
n = 6: 3×(10 + 15) = 75
n = 9: 4.5×(10 + 24) = 4.5×34 = 153
So no solution — but if we solve quadratic:
n = [ -7 + √(49 + 2640) ] / 6 = [ -7 + √2689 ] / 6
√2689 ≈ 51.85 → n ≈ 44.85 / 6 ≈ 7.475 → not integer → no valid n?

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