Complete the following patterns: a) 373, 374, 376, ?, ?, ? b) 650, 653, 659, ?, ?, ? c) 298, 303, 313, ?, ?, ? d) 642, 644, 648, ?, ?, ? e) 589, 593, 601, ?, ?, ? f) 461, 467, 479, ?, ?, ?

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Asked on April 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-27T16:38:18.543Z

Hey Lizzy, good to see you again. Here are the solutions for the patterns and the word problem. 4. Complete the pattern. a) The pattern adds an increasing number each time: +1, +2, +3, 373, 374, 376, 379, 383, 388 373 + 1 = 374 374 + 2 = 376 376 + 3 = 379 379 + 4 = 383 383 + 5 = 388 b) The pattern adds a number that doubles each time: +3, +6, +12, 650, 653, 659, 671, 695, 743 650 + 3 = 653 653 + 6 = 659 659 + 12 = 671 671 + 24 = 695 695 + 48 = 743 c) The pattern adds a number that doubles each time: +5, +10, +20, 298, 303, 313, 333, 373, 453 298 + 5 = 303 303 + 10 = 313 313 + 20 = 333 333 + 40 = 373 373 + 80 = 453 d) The pattern adds a number that doubles each time: +2, +4, +8, 642, 644, 648, 656, 672, 704 642 + 2 = 644 644 + 4 = 648 648 + 8 = 656 656 + 16 = 672 672 + 32 = 704 e) The pattern adds a number that doubles each time: +4, +8, +16, 589, 593, 601, 617, 649, 713 589 + 4 = 593 593 + 8 = 601 601 + 16 = 617 617 + 32 = 649 649 + 64 = 713 f) The pattern adds a number that doubles each time: +6, +12, +24, 461, 467, 479, 503, 551, 647 461 + 6 = 467 467 + 12 = 479 479 + 24 = 503 503 + 48 = 551 551 + 96 = 647 Collecting shells This is a geometric progression where the number of shells doubles each day. The formula for the n-th term of a geometric progression is a_n = a_1 · r^n-1, where a_1 is the first term and r is the common ratio. Step 1: Identify the given values. The number of shells on the first day (a_1) is 7. The number of shells doubles each day, so the common ratio (r) is 2. We need to find the number of shells on the ninth day (n=9). Step 2: Substitute the values into the formula. a_9 = 7 · 2^9-1 a_9 = 7 · 2^8 Step 3: Calculate 2^8. 2^8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256 Step 4: Calculate the number of shells on the ninth day. a_9 = 7 · 256 a_9 = 1792 James would collect 1792 shells on the ninth day. Send me the next one 📸

Accepted Answer · 2026-04-27T16:38:18.543Z

Hey Lizzy, good to see you again. Here are the solutions for the patterns and the word problem. 4. Complete the pattern. a) The pattern adds an increasing number each time: +1, +2, +3, 373, 374, 376, 379, 383, 388 373 + 1 = 374 374 + 2 = 376 376 + 3 = 379 379 + 4 = 383 383 + 5 = 388 b) The pattern adds a number that doubles each time: +3, +6, +12, 650, 653, 659, 671, 695, 743 650 + 3 = 653 653 + 6 = 659 659 + 12 = 671 671 + 24 = 695 695 + 48 = 743 c) The pattern adds a number that doubles each time: +5, +10, +20, 298, 303, 313, 333, 373, 453 298 + 5 = 303 303 + 10 = 313 313 + 20 = 333 333 + 40 = 373 373 + 80 = 453 d) The pattern adds a number that doubles each time: +2, +4, +8, 642, 644, 648, 656, 672, 704 642 + 2 = 644 644 + 4 = 648 648 + 8 = 656 656 + 16 = 672 672 + 32 = 704 e) The pattern adds a number that doubles each time: +4, +8, +16, 589, 593, 601, 617, 649, 713 589 + 4 = 593 593 + 8 = 601 601 + 16 = 617 617 + 32 = 649 649 + 64 = 713 f) The pattern adds a number that doubles each time: +6, +12, +24, 461, 467, 479, 503, 551, 647 461 + 6 = 467 467 + 12 = 479 479 + 24 = 503 503 + 48 = 551 551 + 96 = 647 Collecting shells This is a geometric progression where the number of shells doubles each day. The formula for the n-th term of a geometric progression is a_n = a_1 · r^n-1, where a_1 is the first term and r is the common ratio. Step 1: Identify the given values. The number of shells on the first day (a_1) is 7. The number of shells doubles each day, so the common ratio (r) is 2. We need to find the number of shells on the ninth day (n=9). Step 2: Substitute the values into the formula. a_9 = 7 · 2^9-1 a_9 = 7 · 2^8 Step 3: Calculate 2^8. 2^8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256 Step 4: Calculate the number of shells on the ninth day. a_9 = 7 · 256 a_9 = 1792 James would collect 1792 shells on the ninth day. Send me the next one 📸

Complete the following patterns: a) 373, 374, 376, ?, ?, ? b) 650, 653, 659, ?, ?, ? c) 298, 303, 313, ?, ?, ? d) 642, 644, 648, ?, ?, ? e) 589, 593, 601, ?, ?, ? f) 461, 467, 479, ?, ?, ?

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Complete the following patterns: a) 373, 374, 376, ?, ?, ? b) 650, 653, 659, ?, ?, ? c) 298, 303, 313, ?, ?, ? d) 642, 644, 648, ?, ?, ? e) 589, 593, 601, ?, ?, ? f) 461, 467, 479, ?, ?, ?

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