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Home » Half of 3/4: The Secret Formula Every Calculator Hates! - Dyverse

Half of 3/4: The Secret Formula Every Calculator Hates! - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question 11:

📌 In a sequence where the first term is 3 and the common difference is 4, find the sum of the first 15 terms.

📌 Solution 11:

📌 First term \( a = 3 \), common difference \( d = 4 \), number of terms \( n = 15 \).

📌 Sum of an arithmetic sequence:

📌 S_n = \frac{n}{2} \left(2a + (n-1)d\right)

📌 S_{15} = \frac{15}{2} \left(2 \times 3 + 14 \times 4\right) = \frac{15}{2} \times (6 + 56) = \frac{15}{2} \times 62 = 15 \times 31 = 465

🔥 Popular Posts

$ rac{120}{12} = 10 $.
So, there are $ 10 imes 4 = 40 $ such plants.
Thus, the number of plants that exhibit the trait is $ oxed{40} $.
Question: A mechanical engineer is designing a gear system where one g...
Solution: The two gears will realign at their starting position after...
Factor both numbers:
$ 18 = 2 imes 3^2 $,
$ 30 = 2 imes 3 imes 5 $.
ext{lcm}(18, 30) = 2 imes 3^2 imes 5 = 90.
Thus, they will first align again after $ oxed{90} $ seconds.

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