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📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\( 100 + 2 \times (60 + 36 + 21.6 + 12.96) = 100 + 2 \times 130.56 = 1...
#### 361.12
A geometric sequence has first term 3 and common ratio 2. Find the sum...
Sum of first \( n \) terms:
\[ S_n = a \frac{r^n - 1}{r - 1} \]
\( a = 3, r = 2, n = 8 \)
\[ S_8 = 3 \frac{2^8 - 1}{2 - 1} = 3(256 - 1) = 3 \times 255 = 765 \]
8th term:
\[ a_8 = ar^{7} = 3 \times 128 = 384 \]
Sum: 765, 8th term: 384

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