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24HourAnswers. com Online Homework Focused Exercises for Math sit down achievement Set 17 Sequences Many of the problems in this exercise set came from The College Board, writers of the SAT exam. 1. 7, 15, 31, 63, The set-back margin in the successiveness above is 7, and each shape later on the send-off is de statusined by multiplying the front endpoint by m and then adding p. What is the value of m ? (A) (B) (C) (D) (E) 1 2 3 4 9 2. 2, 6, 14, 30, In the range above, the initiatory term is 2. to each one descend aft(prenominal) the start-off is obtained by adding 1 to the preceding moment and then doubling the result.What is the sixth name in the while? (A) (B) (C) (D) (E) 122 123 124 cxxv 126 3. 150, 30, 6, 1f f f In the grade above, each term after the 1st term is f of the term 5 preceding it. What is the fifth term of this range? 4. The first term of a era is 20 and the second term is 8. The triplet term and each term thenceforth is the average (arithmet ic mean) of the both terms immediately preceding it. What is the value of the first term in the sequence that is not an integer? (A) (B) (C) (D) (E) 22. 6 1. 23 24. 7 12. 5 6. 8 5. a, 3a, The first term in the sequence above is a, and each term after the first is 3 multiplication the preceding term. If the sum of the first 5 terms is 605, what is the value of a ? 6. 8, 17, 26, 35, 44, The first 5 terms in a sequence be shown above. Each term after the first is found by adding 9 to the term immediately preceding it. Which term in a this sequence is equal to 8 ? 26 1 9 ? (A) (B) (C) (D) (E) 7. The 8th The 9th The twenty-fifth The 26th The 27th In the repeating decimal 0. 1246812468 where the physical bodys 12468 repeat, which digit is in the 4,000th place to the right of the decimal point? A) (B) (C) (D) (E) 1 2 4 6 8 8. The first term of a sequence of number is 3 . Each term after the first is obtained by multiplying the preceding term by 1 and then subtracting 1. What is t he 75th term of the sequence? (A) 73 (B) 3 (C) 2 (D) 4 (E) 73 9. 3, 5, -5, The first term in the sequence of numbers shown above is 3. Each even numbered term is 2 more than the previous(prenominal) term and each odd numbered term, after the first, is -1 times the previous term. For example, the second a term is 3 + 2, and the third term is 1 B 5 . What is the 55th term of the sequence? A) 5 (B) 3 (C) 1 (D) 3 (E) 5 10. The first cardinal numbers of a sequence be 1 and 3, respectively. The third number is 4, and, in general, every number after the second is the sum of the both numbers immediately preceding it. How many of the first 1,000 numbers in this sequence are odd? (A) (B) (C) (D) (E) 333 500 665 666 667 11. 1, 0, 1, 2 A sequence is formed by repeating the 4 numbers above in the same order indefinitely. What is the sum of the first 28 terms of the sequence? 12. 1, 2, 1, 1, 2 , . . . The first five terms of a sequence are shown above.After the second term, each te rm can be obtained by subtracting from the previous term the term before that. For example, the third term can be obtained by subtracting the first term from the second term. What is the sum of the first 36 terms of the sequence? (A) 0 (B) 4 (C) 12 (D) 24 (E) 30 13. 5. 101001000100001 The decimal number above consists of only 1s and 0s to the right of the decimal point. The first 1 is followed by one 0, the second 1 is followed by two 0s, the third 1 is followed by three 0s, and so on. What is the total number of 0s between the 98th and the hundred-and-first 1 in this decimal number? A) (B) (C) (D) (E) 288 291 294 297 ccc 14. 1,234, 1,920,21 ,484,950 The integer above is formed by writing the integers from 1 to 50, in order, next to each other. If the integer is read from unexpended to right, what is the 50th digit from the left? (A) (B) (C) (D) (E) 0 1 2 3 9 15. R Y G W B R Y G Y G W B The figure above shows the stay pieces of a paper chain from which a section has been upstage. The first necktie of the original chain was red and the colors of the links formed the repeating pattern of red (R), yellow (Y), green (G), white (W), and blue (B) from left to right.Which of the following could be the number of links in the section that was removed? (A) (B) (C) (D) (E) 60 61 62 63 64 16. The first term of a sequence is 3 and every term after the first is 5 more than the term immediately preceding it. What is the value of the 101st term? (A) (B) (C) (D) (E) 505 502 500 497 492 17. 1f f f After the first term, each term in a sequence is 3 greater than f of the 3 preceding term. If t is the first term of the sequence and t ? 0 , what is the ratio of the second term to the first term? t ffff ? 9 ffff fff (A) ffff 3 t ffff ? ff fff f3 (B) ffff 3 ffff ? ff fff f9 (C) ffff 3t t ffff ? ff fff f3 (D) ffff 3t 9fffff 2t fffff fffff (E) fffff 3 18. 8, a, 14, b, 20, The first term of the sequence above is 8. Which of the following could be the convening for decision the n th term of this sequence for any positive integer n ? (A) (B) (C) (D) (E) 2n + 6 3n + 5 5n + 3 6n + 2 6n + 5 19. 3, 6, 11, 18, The first quatern terms of a sequence are shown above. Which of the following could be the formula that gives the nth term of this sequence for all positive integers n ? (A) (B) (C) (D) (E) 2n 2n + 1 3n n2 ? 1 n2 ? 2